[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-362192-105":59,"doc-detail-362192-en":131},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","equations-with-variables-on-both-sides-b-math-practice-worksheet","Equations with Variables on Both Sides - B - Math Practice Worksheet","","This educational resource provides a comprehensive set of practice exercises focused on solving linear equations where variables appear on both sides of the equal sign. Designed for K-12 students, the worksheet features sixteen core algebraic problems requiring students to manipulate variable terms using addition or subtraction to isolate the unknown variable. Additionally, it includes an error analysis section to help learners identify common algebraic misconceptions. A full answer key is provided to facilitate self-assessment and check understanding. The document serves as an effective tool for reinforcing essential algebraic skills, promoting logical problem-solving steps, and ensuring mastery of multi-step equation solving techniques in a classroom or independent study setting. The clear, structured format encourages students to show their work, which is critical for developing mathematical proficiency and accuracy in handling linear expressions.",{"@graph":69,"@context":123},[70,84,106],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/equations-with-variables-on-both-sides-b-math-practice-worksheet/362192/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/equations-with-variables-on-both-sides-b-math-practice-worksheet/362192.png","ImageObject",300,407,{"name":92,"@type":93},"Aran","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-05","2026-09-23",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",37,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What is the first step when solving equations with variables on both sides?","Question",{"text":113,"@type":114},"The first step is to move all variable terms to one side of the equation by using addition or subtraction.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"What is the goal of the error analysis section?",{"text":118,"@type":114},"The error analysis section aims to help students identify and correct common mistakes made when solving algebraic equations, such as incorrectly applying inverse operations.",{"name":120,"@type":111,"acceptedAnswer":121},"Are the answers included for all the problems?",{"text":122,"@type":114},"Yes, the document provides a comprehensive answer key at the end, covering all sixteen practice equations and the error analysis challenge.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},362192,1790197501,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":39,"preview_page_count":8,"preview_urls":145},137455076865,"https://ap-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0","Name:     \nEquations with Variables on Both Sides (B)  \nRemember: Move all variable terms to one side by adding or subtracting. Then solve the resulting one-or two-step equation.  \nDirections: Solve each equation. Show your work and check your answer.  \n1.) 4x + 1 = x + 13 x =   2.) 6x-2 = 3x + 10 x =    \n3.) 5x + 3 = 2x + 15 x =   4.) 7x-4 = 4x + 8 x =    \n5.) 3x + 9 = 6x-3 x =   6.) 8x-5 = 5x + 10 x =    \n7.) 2x + 12 = 4x + 2 x =   8.) 5x-8 = 3x + 6 x =    \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \n9.) 4x + 7 = x + 22 x =   10.) 7x-3 = 5x + 11 x =    \n11.) 3x + 8 = x + 16 x =   12.) 9x-4 = 6x + 14 x =    \n13.) 2x + 20 = 6x-4 x =   14.) 5x-9 = 2x + 12 x =    \n15.) 4x + 3 = 8x-17 x =   16.) 7x-13 = 3x + 11 x =    \n17.) Error Analysis: A student solved 5x + 3 = 2x + 15 and wrote: 7x + 3 = 15, 7x = 12, x = 12/7 .  \nIdentify the error and solve correctly.  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \nANSWER KEY  \nAnswers:  \n1.) 4x + 1 = x + 13 → x = 4  \n2.) 6x-2 = 3x + 10 → x = 4  \n3.) 5x + 3 = 2x + 15 → x = 4  \n4.) 7x-4 = 4x + 8 → x = 4  \n5.) 3x + 9 = 6x-3 → x = 4  \n6.) 8x-5 = 5x + 10 → x = 5  \n7.) 2x + 12 = 4x + 2 → x = 5  \n8.) 5x-8 = 3x + 6 → x = 7  \n9.) 4x + 7 = x + 22 → x = 5  \n10.) 7x-3 = 5x + 11 → x = 7  \n11.) 3x + 8 = x + 16 → x = 4  \n12.) 9x-4 = 6x + 14 → x = 6  \n13.) 2x + 20 = 6x-4 → x = 6  \n14.) 5x-9 = 2x + 12 → x = 7  \n15.) 4x + 3 = 8x-17 → x = 5  \n16.) 7x-13 = 3x + 11 → x = 6  \n17.) Challenge: Error: added 2x to both sides instead of subtracting. Correct: 3x+3=15 → 3x=12 → x=4  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)","cbCaivvZV3mjxRgY","https://ap.wps.com/l/cbCaivvZV3mjxRgY","pdf",488967,"English","# Exercises\n## Error Analysis\n# Answer Key","[{\"question\":\"What is the first step when solving equations with variables on both sides?\",\"answer\":\"The first step is to move all variable terms to one side of the equation by using addition or subtraction.\"},{\"question\":\"What is the goal of the error analysis section?\",\"answer\":\"The error analysis section aims to help students identify and correct common mistakes made when solving algebraic equations, such as incorrectly applying inverse operations.\"},{\"question\":\"Are the answers included for all the problems?\",\"answer\":\"Yes, the document provides a comprehensive answer key at the end, covering all sixteen practice equations and the error analysis challenge.\"}]","Equations with Variables on Both Sides - B - Math Practice Worksheet | PDF",1790146760,[146],{"page_no":8,"url":147,"width":148,"height":149},"https://res-academy.cache.wpscdn.com/upload/kdocshare/2026-11-08/7e8ce2a137f8dc610faf45ded12ee112.webp",983,1272]