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: 36

Answer

$x=-10$

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 -2 to everything inside of the first set of parenthesis and the -1 to everything inside of the second set of parenthesis, giving us the equation: $-2x+8-3x+2=-6x$ We now simplify: $-5x+10=-6x \\\\ 10=-x \\\\ x=-10$
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