Solve for x.
9(x + 1) = 25 + x
bo
x=2
x=3
X=4
x=5<\/p>\n\n\n\n
The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n To solve the equation ( 9(x + 1) = 25 + x ), let’s follow the steps systematically:<\/p>\n\n\n\n First, distribute the ( 9 ) on the left side to both terms inside the parentheses:<\/p>\n\n\n\n [ So, the equation becomes:<\/p>\n\n\n\n [ Now, to isolate the variable ( x ), let’s get all the terms involving ( x ) on one side of the equation and the constant terms on the other side.<\/p>\n\n\n\n First, subtract ( x ) from both sides to eliminate ( x ) from the right side:<\/p>\n\n\n\n [ This simplifies to:<\/p>\n\n\n\n [ Next, subtract ( 9 ) from both sides to isolate the term with ( x ):<\/p>\n\n\n\n [ This simplifies to:<\/p>\n\n\n\n [ Now, divide both sides by ( 8 ) to solve for ( x ):<\/p>\n\n\n\n [ This simplifies to:<\/p>\n\n\n\n [ The correct value of ( x ) is 2<\/strong>.<\/p>\n\n\n\n The equation ( 9(x + 1) = 25 + x ) is a linear equation where the goal is to isolate the variable ( x ). By expanding the left side, we then grouped the terms involving ( x ) and the constant terms, eventually isolating ( x ) on one side of the equation. This approach shows how we systematically simplify both sides of the equation to solve for the unknown value of ( x ).<\/p>\n\n\n\n Thus, the correct answer is ( x = 2 ).<\/p>\n","protected":false},"excerpt":{"rendered":" Solve for x.9(x + 1) = 25 + xbox=2x=3X=4x=5 The Correct Answer and Explanation is : To solve the equation ( 9(x + 1) = 25 + x ), let’s follow the steps systematically: Step 1: Expand the equation First, distribute the ( 9 ) on the left side to both terms inside the parentheses: […]<\/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-164421","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/164421","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=164421"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/164421\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=164421"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=164421"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=164421"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Step 1: Expand the equation<\/h3>\n\n\n\n
9(x + 1) = 9x + 9
]<\/p>\n\n\n\n
9x + 9 = 25 + x
]<\/p>\n\n\n\nStep 2: Isolate the variable terms<\/h3>\n\n\n\n
9x + 9 – x = 25 + x – x
]<\/p>\n\n\n\n
8x + 9 = 25
]<\/p>\n\n\n\nStep 3: Move constant terms<\/h3>\n\n\n\n
8x + 9 – 9 = 25 – 9
]<\/p>\n\n\n\n
8x = 16
]<\/p>\n\n\n\nStep 4: Solve for ( x )<\/h3>\n\n\n\n
\\frac{8x}{8} = \\frac{16}{8}
]<\/p>\n\n\n\n
x = 2
]<\/p>\n\n\n\nConclusion:<\/h3>\n\n\n\n
Explanation:<\/h3>\n\n\n\n