College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 1 - Equations and Inequalities - Exercise Set 1.2: 95

Answer

$x=-2$

Work Step by Step

$4x+13-\{2x-[4(x-3)-5]\}=2(x-6)$ Simplify the expression inside brackets on the left side and the product on the right side: $4x+13-\{2x-[4x-12-5]\}=2x-12$ $4x+13-\{2x-[4x-17]\}=2x-12$ Simplify the expression inside braces on the left side: $4x+13-\{2x-4x+17\}=2x-12$ $4x+13-\{-2x+17\}=2x-12$ Simplify the left side: $4x+13+2x-17=2x-12$ $6x-4=2x-12$ Take $2x$ to the left side and $4$ to the right side. Then, simplify: $6x-2x=-12+4$ $4x=-8$ Take $4$ to divide the right side: $x=-\dfrac{8}{4}$ $x=-2$
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