{"id":242835,"date":"2025-07-04T09:35:40","date_gmt":"2025-07-04T09:35:40","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=242835"},"modified":"2025-07-04T09:35:42","modified_gmt":"2025-07-04T09:35:42","slug":"8-14-2x-8-5x-3x-34-prove-r-9-statements","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/04\/8-14-2x-8-5x-3x-34-prove-r-9-statements\/","title":{"rendered":"8 14 – 2(x + 8) = 5x \u2013 (3x \u2013 34); Prove: r = -9 Statements"},"content":{"rendered":"\n

8 14 – 2(x + 8) = 5x \u2013 (3x \u2013 34); Prove: r = -9 Statements<\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

Let’s solve the equation step-by-step:<\/p>\n\n\n\n

Given:<\/strong>8\u22c514\u22122(x+8)=5x\u2212(3x\u221234)8 \\cdot 14 – 2(x + 8) = 5x – (3x – 34)8\u22c514\u22122(x+8)=5x\u2212(3x\u221234)<\/p>\n\n\n\n

Step 1: Simplify both sides.<\/h3>\n\n\n\n

First, simplify the left-hand side:8\u22c514=1128 \\cdot 14 = 1128\u22c514=112\u22122(x+8)=\u22122x\u221216-2(x + 8) = -2x – 16\u22122(x+8)=\u22122x\u221216<\/p>\n\n\n\n

So, the left side becomes:112\u22122x\u221216=5x\u2212(3x\u221234)112 – 2x – 16 = 5x – (3x – 34)112\u22122x\u221216=5x\u2212(3x\u221234)<\/p>\n\n\n\n

Simplify further:96\u22122x=5x\u2212(3x\u221234)96 – 2x = 5x – (3x – 34)96\u22122x=5x\u2212(3x\u221234)<\/p>\n\n\n\n

Now, simplify the right-hand side:5x\u2212(3x\u221234)=5x\u22123x+34=2x+345x – (3x – 34) = 5x – 3x + 34 = 2x + 345x\u2212(3x\u221234)=5x\u22123x+34=2x+34<\/p>\n\n\n\n

Now the equation is:96\u22122x=2x+3496 – 2x = 2x + 3496\u22122x=2x+34<\/p>\n\n\n\n

Step 2: Solve for xxx.<\/h3>\n\n\n\n

Move all terms involving xxx to one side, and constant terms to the other side.<\/p>\n\n\n\n

First, add 2x2x2x to both sides:96=4x+3496 = 4x + 3496=4x+34<\/p>\n\n\n\n

Now subtract 34 from both sides:62=4×62 = 4×62=4x<\/p>\n\n\n\n

Finally, divide both sides by 4:x=624=15.5x = \\frac{62}{4} = 15.5x=462\u200b=15.5<\/p>\n\n\n\n

Conclusion:<\/h3>\n\n\n\n

The solution for xxx is 15.515.515.5, not r=\u22129r = -9r=\u22129. It seems there might be a typo or misunderstanding in the question. However, based on the algebraic steps, the correct value for xxx is 15.515.515.5.<\/p>\n\n\n\n

\"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

8 14 – 2(x + 8) = 5x \u2013 (3x \u2013 34); Prove: r = -9 Statements The Correct Answer and Explanation is: Let’s solve the equation step-by-step: Given:8\u22c514\u22122(x+8)=5x\u2212(3x\u221234)8 \\cdot 14 – 2(x + 8) = 5x – (3x – 34)8\u22c514\u22122(x+8)=5x\u2212(3x\u221234) Step 1: Simplify both sides. First, simplify the left-hand side:8\u22c514=1128 \\cdot 14 = 1128\u22c514=112\u22122(x+8)=\u22122x\u221216-2(x […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-242835","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/242835","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=242835"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/242835\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=242835"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=242835"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=242835"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}