Solve x + 9 = 18 – 2x<\/p>\n\n\n\n
The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n To solve the equation ( x + 9 = 18 – 2x ), we need to isolate the variable ( x ). Here\u2019s how to do it step by step:<\/p>\n\n\n\n Thus, the solution to the equation ( x + 9 = 18 – 2x ) is ( x = 3 ).<\/p>\n\n\n\n This equation involves balancing both sides by performing equivalent operations. We start by recognizing that the goal is to isolate ( x ). This is a fundamental skill in algebra, known as solving linear equations. The first step was to combine like terms by moving ( -2x ) to the left side. This step is crucial because it simplifies our equation, allowing us to focus on isolating ( x ).<\/p>\n\n\n\n Next, we eliminated the constant term on the left side by subtracting 9 from both sides. This reinforces the principle that whatever we do to one side of the equation, we must do to the other to maintain equality. Finally, dividing by 3 allows us to solve for ( x ).<\/p>\n\n\n\n In summary, the key steps of rearranging, simplifying, and performing arithmetic operations are essential in finding the value of ( x ). These principles form the basis of algebra and are applicable in various fields, including science, engineering, and finance, where problem-solving is required.<\/p>\n","protected":false},"excerpt":{"rendered":" Solve x + 9 = 18 – 2x The Correct Answer and Explanation is : To solve the equation ( x + 9 = 18 – 2x ), we need to isolate the variable ( x ). Here\u2019s how to do it step by step: Thus, the solution to the equation ( x + 9 […]<\/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-145651","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/145651","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=145651"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/145651\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=145651"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=145651"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=145651"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}\n
[
x + 9 = 18 – 2x
]<\/li>\n\n\n\n
[
x + 2x + 9 = 18
]
This simplifies to:
[
3x + 9 = 18
]<\/li>\n\n\n\n
[
3x + 9 – 9 = 18 – 9
]
Simplifying this gives:
[
3x = 9
]<\/li>\n\n\n\n
[
\\frac{3x}{3} = \\frac{9}{3}
]
Therefore, we find:
[
x = 3
]<\/li>\n<\/ol>\n\n\n\nExplanation<\/h3>\n\n\n\n