{"id":248595,"date":"2025-07-08T13:50:30","date_gmt":"2025-07-08T13:50:30","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=248595"},"modified":"2025-07-08T13:50:32","modified_gmt":"2025-07-08T13:50:32","slug":"which-equation-has-the-same-solution-as-4-2x-5-x-19","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/08\/which-equation-has-the-same-solution-as-4-2x-5-x-19\/","title":{"rendered":"Which equation has the same solution as 4 – 2(x – 5 ) = x – 19"},"content":{"rendered":"\n

Which equation has the same solution as 4 – 2(x – 5 ) = x – 19? A) 2(x + 5) = -8 B) 3(x-3) = 9 C) x + 2 = 2x – 3 D) 3x – 4 = 2x + 7<\/p>\n\n\n\n

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

Let’s first solve the given equation:<\/p>\n\n\n\n

4 – 2(x – 5) = x – 19<\/strong><\/p>\n\n\n\n

    \n
  1. Distribute the -2 to both terms inside the parentheses: 4\u22122x+10=x\u2212194 – 2x + 10 = x – 194\u22122x+10=x\u221219<\/li>\n\n\n\n
  2. Combine the constants on the left side: 14\u22122x=x\u22121914 – 2x = x – 1914\u22122x=x\u221219<\/li>\n\n\n\n
  3. Now, let’s move all terms involving xxx to one side and constants to the other side. First, add 2x2x2x to both sides: 14=3x\u22121914 = 3x – 1914=3x\u221219<\/li>\n\n\n\n
  4. Next, add 19 to both sides to move the constants: 33=3×33 = 3×33=3x<\/li>\n\n\n\n
  5. Finally, divide by 3 to solve for xxx: x=11x = 11x=11<\/li>\n<\/ol>\n\n\n\n

    So, the solution to the equation is x=11x = 11x=11.<\/p>\n\n\n\n

    Now, we will check which of the answer options has the same solution of x=11x = 11x=11.<\/p>\n\n\n\n

    Option A: 2(x + 5) = -8<\/strong><\/p>\n\n\n\n

      \n
    1. Distribute the 2: 2x+10=\u221282x + 10 = -82x+10=\u22128<\/li>\n\n\n\n
    2. Subtract 10 from both sides: 2x=\u2212182x = -182x=\u221218<\/li>\n\n\n\n
    3. Divide by 2: x=\u22129x = -9x=\u22129<\/li>\n<\/ol>\n\n\n\n

      This is not the same solution as x=11x = 11x=11.<\/p>\n\n\n\n

      Option B: 3(x – 3) = 9<\/strong><\/p>\n\n\n\n

        \n
      1. Distribute the 3: 3x\u22129=93x – 9 = 93x\u22129=9<\/li>\n\n\n\n
      2. Add 9 to both sides: 3x=183x = 183x=18<\/li>\n\n\n\n
      3. Divide by 3: x=6x = 6x=6<\/li>\n<\/ol>\n\n\n\n

        This is not the same solution as x=11x = 11x=11.<\/p>\n\n\n\n

        Option C: x + 2 = 2x – 3<\/strong><\/p>\n\n\n\n

          \n
        1. Subtract xxx from both sides: 2=x\u221232 = x – 32=x\u22123<\/li>\n\n\n\n
        2. Add 3 to both sides: 5=x5 = x5=x<\/li>\n<\/ol>\n\n\n\n

          This is not the same solution as x=11x = 11x=11.<\/p>\n\n\n\n

          Option D: 3x – 4 = 2x + 7<\/strong><\/p>\n\n\n\n

            \n
          1. Subtract 2x2x2x from both sides: x\u22124=7x – 4 = 7x\u22124=7<\/li>\n\n\n\n
          2. Add 4 to both sides: x=11x = 11x=11<\/li>\n<\/ol>\n\n\n\n

            This is the same solution as x=11x = 11x=11.<\/p>\n\n\n\n

            Conclusion:<\/strong><\/p>\n\n\n\n

            The correct answer is Option D: 3x – 4 = 2x + 7<\/strong>, as it has the same solution x=11x = 11x=11.<\/p>\n\n\n\n

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

            Which equation has the same solution as 4 – 2(x – 5 ) = x – 19? A) 2(x + 5) = -8 B) 3(x-3) = 9 C) x + 2 = 2x – 3 D) 3x – 4 = 2x + 7 The Correct Answer and Explanation is: Let’s first solve the given equation: […]<\/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-248595","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/248595","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=248595"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/248595\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=248595"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=248595"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=248595"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}