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Students find the value of x in multiple “Find the value of x” problems where terms and constants are rearranged to isolate the variable. The materials include several sets of equation systems with positive and negative coefficients and provide worked solutions for each numbered item to support checking and review.",{"@graph":69,"@context":122},[70,84,105],{"@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/determining-variable-value-to-balance-equations-worksheet-answer-key/468565/",{"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/determining-variable-value-to-balance-equations-worksheet-answer-key/468565.png","ImageObject",300,407,{"name":92,"@type":93},"Riley","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-31","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":52},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What does “balance equations” mean in these problems?","Question",{"text":112,"@type":113},"Both sides of each equation must remain equal. Terms are rearranged so x is isolated while preserving equality through balanced operations.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do you solve for x on this worksheet?",{"text":117,"@type":113},"Combine like terms, move constants and x-terms to appropriate sides, then divide by the coefficient of x to get its value.",{"name":119,"@type":110,"acceptedAnswer":120},"Why are the problems repeated in multiple sections?",{"text":121,"@type":113},"Each section provides a new set of linear equations with different coefficients, and the corresponding answer key supports verification.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},468565,1790826210,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":52,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":41,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":144},1374391975076,"https://ap-avatar.wpscdn.com/avatar/14000253ca4ec9f6853?x-image-process=image/resize,m_fixed,w_180,h_180&k=1783305029341752051","Determining Variable Value to Balance Equations Name:  \n\n| Find the value of x.\u003Cbr>1) 12 + 1x = -8x + 102\u003Cbr>3) 3 + 4x = -6x + 23\u003Cbr>5) 69-2x = 133-10x\u003Cbr>7) 52 + -1x = 82 + -6x\u003Cbr>9) -5x + 50 = 130-15x | 2)\u003Cbr>4)\u003Cbr>6)\u003Cbr>8)\u003Cbr>10) | 1 + 1x = -8x + 82\u003Cbr>-2 + 4x = 1x + 22\u003Cbr>-14 + 4x = 28 + -3x\u003Cbr>51 + 1x = -4x + 61\u003Cbr>19 + 2x = 34-3x | 1.\u003Cbr>2.\u003Cbr>3.\u003Cbr>4.\u003Cbr>5.\u003Cbr>6.\u003Cbr>7.\u003Cbr>8.\u003Cbr>9.\u003Cbr>10.\u003Cbr>11.\u003Cbr>12. | Answers |\n| --- | --- | --- | --- | --- |\n|  |  |  |  |  |\n|  |  |  |  |  |\n|  |  |  |  |  |\n|  |  |  |  |  |\n|  |  |  |  |  |\n|  |  |  |  |  |\n|  |  |  |  |  |\n|  |  |  |  |  |\n|  |  |  |  |  |\n|  |  |  |  |  |\n|  |  |  |  |  |\n|  |  |  |  |  |\n| 11) 63-5x = -11x + 105 | 12) | 63 + 2x = 83 + -3x |  |  |\n\nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n1  \n1-10 92  \n11-12 8  \n83  \n0  \n75 67 58 50 42 33 25 17  \nDetermining Variable Value to Balance Equations Name: Answer Key  \n\n| Find the value of x.\u003Cbr>1) 12 + 1x = -8x + 102\u003Cbr>9x = 90\u003Cbr>x = 10 |  | 2) 1 + 1x = -8x + 82\u003Cbr>9x = 81\u003Cbr>x = 9 |  |  |  |  |  |  | Answers\u003Cbr>1.  10  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 3) 3 + 4x = -6x + 23 4) -2 + 4x = 1x + 22\u003Cbr>10x = 20 3x = 24\u003Cbr>x = 2 x = 8\u003Cbr>5) 69-2x = 133-10x 6) -14 + 4x = 28 + -3x\u003Cbr>8x = 64 7x = 42\u003Cbr>x = 8 x = 6\u003Cbr>7) 52 + -1x = 82 + -6x 8) 51 + 1x = -4x + 61\u003Cbr>5x = 30 5x = 10\u003Cbr>x = 6 x = 2\u003Cbr>9) -5x + 50 = 130-15x 10) 19 + 2x = 34-3x |  |  |  |  |  |  |  |  | 2.  9  3.  2  4.  8  5.  8  6.  6  7.  6  8.  2  9.  8  10.  3  11.  7 \u003Cbr>12.  4  |  |  |  |  |  |\n| 10x = 80 5x = 15 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| x = 8 x = 3 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 11) 63-5x = -11x + 105 12) 63 + 2x = 83 + -3x |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 6x = 42 5x = 20 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| x = 7 x = 4 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| \u003Cbr>Math | [www.CommonCoreSheets.com](www.CommonCoreSheets.com) |  | 1 | 1-10\u003Cbr>11-12 | 92 | 83 | 75 | 67 | 58 | 50 | 42 | 33 | 25 | 17 |\n|  |  |  |  |  | 8 | 0 |  |  |  |  |  |  |  |  |\n\n Determining Variable Value to Balance Equations Name:  \n\n| Find the value of x. |  |  | Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.  \u003Cbr>8.   |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 9 2 8 2 6 8 6 10 |  |  |  |  |  |  |  |  |\n| 1) 12 + 1x = -8x + 102 2) 1 + 1x = -8x + 82\u003Cbr>3) 3 + 4x = -6x + 23 4) -2 + 4x = 1x + 22\u003Cbr>5) 69-2x = 133-10x 6) -14 + 4x = 28 + -3x\u003Cbr>7) 52 + -1x = 82 + -6x 8) 51 + 1x = -4x + 61 |  |  |  |  |  |  |  |  |\n| 1-8 | 88 | 75 | 63 | 50 | 38 | 25 | 13 | 0 |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n1  \n Determining Variable Value to Balance Equations Name:  \n\n| Find the value of x.\u003Cbr>1) 22-3x = -12x + 40\u003Cbr>3) 2x + 5 = 0x + 21\u003Cbr>5) 12 + 1x = 48 + -5x\u003Cbr>7) 70-3x = -13x + 130\u003Cbr>9) -4x + 45 = -10x + 75 | 2)\u003Cbr>4)\u003Cbr>6)\u003Cbr>8)\u003Cbr>10) | 25 + 4x = -3x + 81\u003Cbr>87-2x = 123-11x\u003Cbr>89 + -2x = 149 + -12x\u003Cbr>2 + 1x = -5x + 62\u003Cbr>17 + 5x = 53 + -4x | 1.\u003Cbr>2.\u003Cbr>3.\u003Cbr>4.\u003Cbr>5.\u003Cbr>6.\u003Cbr>7.\u003Cbr>8.\u003Cbr>9.\u003Cbr>10.\u003Cbr>11.\u003Cbr>12. | Answers |\n| --- | --- | --- | --- | --- |\n|  |  |  |  |  |\n|  |  |  |  |  |\n|  |  |  |  |  |\n|  |  |  |  |  |\n|  |  |  |  |  |\n|  |  |  |  |  |\n|  |  |  |  |  |\n|  |  |  |  |  |\n|  |  |  |  |  |\n|  |  |  |  |  |\n|  |  |  |  |  |\n|  |  |  |  |  |\n| 11) 32 + 1x = -4x + 57 | 12) | 81-3x = -12x + 162 |  |  |\n\nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n2  \n1-10 92  \n11-12 8  \n83  \n0  \n75 67 58 50 42 33 25 17  \nDetermining Variable Value to Balance Equations Name: Answer Key  \n\n| Find the value of x.\u003Cbr>1) 22-3x = -12x + 40\u003Cbr>9x = 18\u003Cbr>x = 2 |  | 2) 25 + 4x = -3x + 81\u003Cbr>7x = 56\u003Cbr>x = 8 |  |  |  |  |  |  | Answers\u003Cbr>1.  2  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 3) 2x + 5 = 0x + 21 4) 87-2x = 123-11x\u003Cbr>2x = 16 9x = 36\u003Cbr>x = 8 x = 4\u003Cbr>5) 12 + 1x = 48 + -5x 6","cbCaiseEO1ZSrk1c","https://ap.wps.com/l/cbCaiseEO1ZSrk1c","pdf",437291,"English","# Find the value of x\n## Solve linear equations by balancing\n## Check answers using the answer key","[{\"question\":\"What does “balance equations” mean in these problems?\",\"answer\":\"Both sides of each equation must remain equal. Terms are rearranged so x is isolated while preserving equality through balanced operations.\"},{\"question\":\"How do you solve for x on this worksheet?\",\"answer\":\"Combine like terms, move constants and x-terms to appropriate sides, then divide by the coefficient of x to get its value.\"},{\"question\":\"Why are the problems repeated in multiple sections?\",\"answer\":\"Each section provides a new set of linear equations with different coefficients, and the corresponding answer key supports verification.\"}]","Determining Variable Value to Balance Equations - Worksheet Answer Key | PDF",1790774389,76]