Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 3 - Equations and Problem Solving - 3.4 - Equations Involving Parentheses and Fractional Forms - Problem Set 3.4 - Page 123: 35

Answer

$x=-57$

Work Step by Step

The distributive property allows us to distribute anything multiplied by something inside of the parenthesis to whatever is inside of the parenthesis. Thus, we distribute the 3 to everything inside of the first set of parenthesis, the 2 to everything inside of the second set of parenthesis, the -4 to everything in the third set of parenthesis, and the 10 to everything in the fourth set of parenthesis, giving us the equation: $3x-3+2x-6=-4x+8+10x+40$ We now simplify: $5x-9=6x+48 \\\\ -9=x+48 \\\\ x=-57$
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