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: 31

Answer

$x=-2$

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 5 to everything inside of the first set of parenthesis, the -1 to everything inside of the second set of parenthesis, and the 4 to everything in the third set of parenthesis, giving us the equation 10x-5-3x-4=4x+12-27. We now simplify: $7x-9=4x-15 \\\\ 3x-9=-15 \\\\ 3x=-6 \\\\ x=-2$
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