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: 37

Answer

$x=-7/5$

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 -7 to everything inside of the first set of parenthesis and the -6 to everything inside of the second set of parenthesis, giving us the equation: $3-7x+7=9-12x-6$ We now simplify: $-7x+10=-12x+3 \\\\5x+10=3 \\\\ 5x=-7 \\\\ x=-7/5$
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