Solve equation
7+3x-12x=3x+1<\/p>\n\n\n\n
The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n To solve the equation ( 7 + 3x – 12x = 3x + 1 ), we first simplify both sides of the equation.<\/p>\n\n\n\n The equation ( 7 + 3x – 12x = 3x + 1 ) contains terms involving the variable ( x ) and constant numbers. The goal is to isolate ( x ) on one side of the equation to find its value. We start by simplifying the left-hand side by combining the like terms, which allows us to rewrite the equation in a clearer form.<\/p>\n\n\n\n Next, we move all terms with ( x ) to one side of the equation and the constants to the other. This is done through simple arithmetic operations: adding or subtracting terms from both sides to maintain equality. By following these algebraic principles, we isolate the variable step-by-step, which leads us to a clear value for ( x ).<\/p>\n\n\n\n Finally, we simplify our result. The division step is crucial because it shows that ( x ) equals half, which is often a straightforward but vital part of solving algebraic equations. Thus, the solution to the original equation is ( x = \\frac{1}{2} ).<\/p>\n","protected":false},"excerpt":{"rendered":" Solve equation7+3x-12x=3x+1 The Correct Answer and Explanation is : To solve the equation ( 7 + 3x – 12x = 3x + 1 ), we first simplify both sides of the equation. Explanation The equation ( 7 + 3x – 12x = 3x + 1 ) contains terms involving the variable ( x ) and […]<\/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-157876","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/157876","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=157876"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/157876\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=157876"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=157876"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=157876"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}\n
[
7 + 3x – 12x = 7 – 9x
]
So the equation simplifies to:
[
7 – 9x = 3x + 1
]<\/li>\n\n\n\n
To isolate ( x ), we can add ( 9x ) to both sides:
[
7 = 3x + 9x + 1
]
Which simplifies to:
[
7 = 12x + 1
]<\/li>\n\n\n\n
[
7 – 1 = 12x
]
This gives us:
[
6 = 12x
]<\/li>\n\n\n\n
[
x = \\frac{6}{12}
]
Simplifying this gives:
[
x = \\frac{1}{2}
]<\/li>\n<\/ol>\n\n\n\nExplanation<\/h3>\n\n\n\n