Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 2 - Equations, Inequalities, and Problem Solving - 2.6 Solving Inequalities - 2.6 Exercise Set: 104

Answer

$-21x+32$

Work Step by Step

Using the Distributive Property and then combining like terms, the given expression, $ 9x-2\{4-5[6-2(x+1)-x]\} ,$ simplifies to \begin{array}{l}\require{cancel} 9x-2\{4-5[6-2(x)-2(1)-x]\} \\\\= 9x-2\{4-5[6-2x-2-x]\} \\\\= 9x-2\{4-5[(-2x-x)+(-2+6)]\} \\\\= 9x-2\{4-5[-3x+4]\} \\\\= 9x-2\{4-5[-3x]-5[4]\} \\\\= 9x-2\{4+15x-20\} \\\\= 9x-2\{15x-16\} \\\\= 9x-2\{15x\}-2\{-16\} \\\\= 9x-30x+32 \\\\= -21x+32 .\end{array}
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