{"id":238905,"date":"2025-06-18T13:14:48","date_gmt":"2025-06-18T13:14:48","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=238905"},"modified":"2025-06-18T13:14:50","modified_gmt":"2025-06-18T13:14:50","slug":"consider-this-equation-2x-4-5x-8-generate-a-plan-to-solve-for-the-variable","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/18\/consider-this-equation-2x-4-5x-8-generate-a-plan-to-solve-for-the-variable\/","title":{"rendered":"Consider this equation: -2x – 4 + 5x = 8. Generate a plan to solve for the variable."},"content":{"rendered":"\n

Consider this equation: -2x – 4 + 5x = 8. Generate a plan to solve for the variable. Describe the steps that will be used.<\/p>\n\n\n\n

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

To solve the equation \u20132x \u2013 4 + 5x = 8<\/strong>, follow these steps:<\/p>\n\n\n\n

Step-by-Step Plan:<\/strong><\/h3>\n\n\n\n
    \n
  1. Combine like terms<\/strong> on the left side of the equation.<\/li>\n\n\n\n
  2. Isolate the variable term<\/strong> by moving constants to the other side of the equation.<\/li>\n\n\n\n
  3. Solve for the variable<\/strong> by simplifying and performing basic algebraic operations.<\/li>\n\n\n\n
  4. Check your solution<\/strong> by substituting it back into the original equation.<\/li>\n<\/ol>\n\n\n\n
    \n\n\n\n

    Solving the Equation:<\/strong><\/h3>\n\n\n\n

    Given:
    \u20132x \u2013 4 + 5x = 8<\/strong><\/p>\n\n\n\n

    Step 1: Combine like terms on the left side.<\/strong>
    Combine the x terms:
    \u20132x + 5x = 3x
    Now the equation becomes:
    3x \u2013 4 = 8<\/strong><\/p>\n\n\n\n

    Step 2: Move the constant to the right side.<\/strong>
    Add 4 to both sides to isolate the x term:
    3x \u2013 4 + 4 = 8 + 4
    This simplifies to:
    3x = 12<\/strong><\/p>\n\n\n\n

    Step 3: Solve for x.<\/strong>
    Divide both sides by 3:
    3x \u00f7 3 = 12 \u00f7 3
    x = 4<\/strong><\/p>\n\n\n\n

    \n\n\n\n

    Explanation (300 words):<\/strong><\/h3>\n\n\n\n

    To solve the linear equation \u20132x \u2013 4 + 5x = 8, we first focus on simplifying both sides to make it easier to isolate the variable. On the left side, we see two terms that contain x: \u20132x and 5x. These are considered like terms because they share the same variable raised to the same power. Combining them gives us 3x. The updated equation is 3x \u2013 4 = 8.<\/p>\n\n\n\n

    Next, we aim to isolate the term with the variable by eliminating the constant term on the same side. The constant \u20134 is subtracted from 3x. To remove it, we add 4 to both sides of the equation. This keeps the equation balanced. On the left side, \u20134 and +4 cancel each other, leaving only 3x. On the right side, 8 + 4 equals 12. Now the equation is simplified to 3x = 12.<\/p>\n\n\n\n

    Finally, to find the value of x, we divide both sides of the equation by 3. This step isolates x, which is our goal when solving for a variable. Dividing 12 by 3 gives us x = 4.<\/p>\n\n\n\n

    To verify the solution, substitute x = 4 back into the original equation:
    \u20132(4) \u2013 4 + 5(4) = \u20138 \u2013 4 + 20 = 8, which matches the right side.
    Thus, x = 4<\/strong> is the correct solution.<\/p>\n\n\n\n

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

    Consider this equation: -2x – 4 + 5x = 8. Generate a plan to solve for the variable. Describe the steps that will be used. The Correct Answer and Explanation is: To solve the equation \u20132x \u2013 4 + 5x = 8, follow these steps: Step-by-Step Plan: Solving the Equation: Given:\u20132x \u2013 4 + 5x […]<\/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-238905","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/238905","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=238905"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/238905\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=238905"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=238905"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=238905"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}