Solve for x in the equation: 13x + 7 = 8x + 27<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n To solve the equation ( 13x + 7 = 8x + 27 ), we will isolate the variable ( x ) by following a series of algebraic steps.<\/p>\n\n\n\n First, we want to get all terms involving ( x ) on one side and the constant terms on the other side. We can do this by subtracting ( 8x ) from both sides:<\/p>\n\n\n\n [ This simplifies to:<\/p>\n\n\n\n [ Next, we need to isolate the term with ( x ). We can achieve this by subtracting ( 7 ) from both sides of the equation:<\/p>\n\n\n\n [ This results in:<\/p>\n\n\n\n [ Now, to find the value of ( x ), we divide both sides of the equation by ( 5 ):<\/p>\n\n\n\n [ Thus, we find:<\/p>\n\n\n\n [ It is always good practice to verify the solution by substituting ( x ) back into the original equation. Let’s substitute ( x = 4 ):<\/p>\n\n\n\n The left side of the equation becomes:<\/p>\n\n\n\n [ The right side of the equation becomes:<\/p>\n\n\n\n [ Since both sides are equal (( 59 = 59 )), our solution ( x = 4 ) is confirmed.<\/p>\n\n\n\n The final solution to the equation ( 13x + 7 = 8x + 27 ) is ( x = 4 ). The process involved rearranging the equation, isolating the variable, and performing basic algebraic operations, which are fundamental skills in solving linear equations.<\/p>\n","protected":false},"excerpt":{"rendered":" Solve for x in the equation: 13x + 7 = 8x + 27 The Correct Answer and Explanation is: To solve the equation ( 13x + 7 = 8x + 27 ), we will isolate the variable ( x ) by following a series of algebraic steps. Step 1: Rearrange the equation First, we want […]<\/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-160229","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/160229","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=160229"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/160229\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=160229"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=160229"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=160229"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Step 1: Rearrange the equation<\/h3>\n\n\n\n
13x – 8x + 7 = 27
]<\/p>\n\n\n\n
5x + 7 = 27
]<\/p>\n\n\n\nStep 2: Isolate the variable term<\/h3>\n\n\n\n
5x + 7 – 7 = 27 – 7
]<\/p>\n\n\n\n
5x = 20
]<\/p>\n\n\n\nStep 3: Solve for ( x )<\/h3>\n\n\n\n
x = \\frac{20}{5}
]<\/p>\n\n\n\n
x = 4
]<\/p>\n\n\n\nVerification<\/h3>\n\n\n\n
13(4) + 7 = 52 + 7 = 59
]<\/p>\n\n\n\n
8(4) + 27 = 32 + 27 = 59
]<\/p>\n\n\n\nConclusion<\/h3>\n\n\n\n