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 - Page 119: 91

Answer

This equation has no solution

Work Step by Step

$5-12x=8-7x-[6\div3(2+5^{3})+5x]$ Simplify the expression inside parentheses on the right side: $5-12x=8-7x-[6\div3(2+125)+5x]$ $5-12x=8-7x-[6\div3(127)+5x]$ Evaluate the division inside the brackets on the right side: $5-12x=8-7x-[2(127)+5x]$ Simplify the expression inside brackets on the right side: $5-12x=8-7x-[254+5x]$ Simplify the right side completely: $5-12x=8-7x-254-5x$ $5-12x=-12x-246$ The term $-12x$ is repeated on both sides. Cancel it: $5\ne-246$ False This equation has no solution
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