{"id":230017,"date":"2025-06-08T18:16:23","date_gmt":"2025-06-08T18:16:23","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=230017"},"modified":"2025-06-08T18:16:25","modified_gmt":"2025-06-08T18:16:25","slug":"if-x-5-6-14-then-x-show-work","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/08\/if-x-5-6-14-then-x-show-work\/","title":{"rendered":"If X\/5 + 6 = -14, then X = ? Show work."},"content":{"rendered":"\n

If X\/5 + 6 = -14, then X = ? Show work.
If X\/5 + 6 = -14, then X = ? Show work.<\/p>\n\n\n\n

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

We are given the equation:X5+6=\u221214\\frac{X}{5} + 6 = -145X\u200b+6=\u221214<\/p>\n\n\n\n

Step-by-step solution:<\/h3>\n\n\n\n

Step 1: Subtract 6 from both sides to isolate the term with X<\/strong>X5+6\u22126=\u221214\u22126\\frac{X}{5} + 6 – 6 = -14 – 65X\u200b+6\u22126=\u221214\u22126X5=\u221220\\frac{X}{5} = -205X\u200b=\u221220<\/p>\n\n\n\n

Step 2: Multiply both sides of the equation by 5 to solve for X<\/strong>5\u22c5X5=\u221220\u22c555 \\cdot \\frac{X}{5} = -20 \\cdot 55\u22c55X\u200b=\u221220\u22c55X=\u2212100X = -100X=\u2212100<\/p>\n\n\n\n

\n\n\n\n

\u2705 Final Answer:<\/h3>\n\n\n\n

X=\u2212100X = -100X=\u2212100<\/p>\n\n\n\n

\n\n\n\n

Explanation<\/h3>\n\n\n\n

Solving equations like X5+6=\u221214\\frac{X}{5} + 6 = -145X\u200b+6=\u221214 involves the use of basic algebraic principles to isolate the variable. The goal is to find the value of X that makes the equation true. This particular equation is a linear equation, which means it graphs as a straight line and the variable X is raised to the first power.<\/p>\n\n\n\n

The first step in solving X5+6=\u221214\\frac{X}{5} + 6 = -145X\u200b+6=\u221214 is to eliminate the constant term on the left side of the equation. Since there is a +6 being added to X5\\frac{X}{5}5X\u200b, we perform the opposite operation\u2014subtracting 6 from both sides. This gives us X5=\u221220\\frac{X}{5} = -205X\u200b=\u221220.<\/p>\n\n\n\n

Next, we want to get rid of the fraction. Since X is divided by 5, we do the opposite and multiply both sides by 5. This cancels out the denominator on the left side, and we are left with:X=\u2212100X = -100X=\u2212100<\/p>\n\n\n\n

This is our solution. We can check our work by substituting -100 back into the original equation:\u22121005+6=\u221220+6=\u221214\\frac{-100}{5} + 6 = -20 + 6 = -145\u2212100\u200b+6=\u221220+6=\u221214<\/p>\n\n\n\n

Since both sides equal -14, the solution is verified.<\/p>\n\n\n\n

This problem demonstrates important skills in algebra: performing inverse operations (like subtracting 6 or multiplying by 5) and keeping the equation balanced by applying the same operation to both sides. Understanding these steps helps build a strong foundation for more complex equations and problem-solving in math.<\/p>\n\n\n\n

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

If X\/5 + 6 = -14, then X = ? Show work.If X\/5 + 6 = -14, then X = ? Show work. The Correct Answer and Explanation is: We are given the equation:X5+6=\u221214\\frac{X}{5} + 6 = -145X\u200b+6=\u221214 Step-by-step solution: Step 1: Subtract 6 from both sides to isolate the term with XX5+6\u22126=\u221214\u22126\\frac{X}{5} + 6 […]<\/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-230017","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/230017","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=230017"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/230017\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=230017"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=230017"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=230017"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}