{"id":151358,"date":"2024-10-09T20:19:28","date_gmt":"2024-10-09T20:19:28","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=151358"},"modified":"2024-10-09T20:19:41","modified_gmt":"2024-10-09T20:19:41","slug":"how-do-i-solve-17x-6-7-x36","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/09\/how-do-i-solve-17x-6-7-x36\/","title":{"rendered":"How do i solve -(1+7x)-6(-7-x)=36"},"content":{"rendered":"\n<p>How do i solve -(1+7x)-6(-7-x)=36<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p>To solve the equation (- (1 + 7x) &#8211; 6(-7 &#8211; x) = 36), follow these steps:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Simplify both sides of the equation<\/h3>\n\n\n\n<p>Start by distributing the negative sign on the left side:<\/p>\n\n\n\n<p>[<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>(1 + 7x) = -1 &#8211; 7x<br>]<\/li>\n<\/ul>\n\n\n\n<p>Next, distribute (-6) in the term (-6(-7 &#8211; x)):<\/p>\n\n\n\n<p>[<br>-6(-7) &#8211; 6(-x) = 42 + 6x<br>]<\/p>\n\n\n\n<p>So, the equation can be rewritten as:<\/p>\n\n\n\n<p>[<br>-1 &#8211; 7x + 42 + 6x = 36<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Combine like terms<\/h3>\n\n\n\n<p>Now, combine the constant terms and the (x) terms on the left side:<\/p>\n\n\n\n<p>[<br>(-1 + 42) + (-7x + 6x) = 36<br>]<\/p>\n\n\n\n<p>This simplifies to:<\/p>\n\n\n\n<p>[<br>41 &#8211; x = 36<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Isolate the variable (x)<\/h3>\n\n\n\n<p>To isolate (x), subtract 41 from both sides:<\/p>\n\n\n\n<p>[<br>41 &#8211; x &#8211; 41 = 36 &#8211; 41<br>]<\/p>\n\n\n\n<p>This simplifies to:<\/p>\n\n\n\n<p>[<br>-x = -5<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 4: Solve for (x)<\/h3>\n\n\n\n<p>Now, multiply both sides by (-1) to solve for (x):<\/p>\n\n\n\n<p>[<br>x = 5<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer<\/h3>\n\n\n\n<p>Thus, the solution to the equation (- (1 + 7x) &#8211; 6(-7 &#8211; x) = 36) is:<\/p>\n\n\n\n<p>[<br>\\boxed{5}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation of the Steps<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Distributing Negative Signs<\/strong>: The negative signs in the equation indicate that each term inside the parentheses must be changed in sign. This step is crucial for maintaining the equality.<\/li>\n\n\n\n<li><strong>Combining Like Terms<\/strong>: This simplifies the equation and makes it easier to work with. It reduces complexity by consolidating similar variables and constants.<\/li>\n\n\n\n<li><strong>Isolating Variables<\/strong>: The goal is to get the variable on one side of the equation by performing operations that will not change the equality.<\/li>\n\n\n\n<li><strong>Finalizing the Solution<\/strong>: After isolating the variable, it\u2019s essential to present the final answer clearly.<\/li>\n<\/ol>\n\n\n\n<p>By following these systematic steps, you can solve linear equations effectively and accurately.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>How do i solve -(1+7x)-6(-7-x)=36 The Correct Answer and Explanation is : To solve the equation (- (1 + 7x) &#8211; 6(-7 &#8211; x) = 36), follow these steps: Step 1: Simplify both sides of the equation Start by distributing the negative sign on the left side: [ Next, distribute (-6) in the term (-6(-7 [&hellip;]<\/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-151358","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/151358","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=151358"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/151358\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=151358"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=151358"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=151358"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}