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 1 - Introduction to Algebraic Expressions - 1.8 Exponential Notation and Order of Operations - 1.8 Exercise Set - Page 67: 111



Work Step by Step

The given expression, $ 5(2x-7)-[4(2x-3)+2] $, simplifies to \begin{array}{l}\require{cancel} 5(2x)+5(-7)-[4(2x)+4(-3)+2] \\\\= 10x-35-[8x-12+2] \\\\= 10x-35-[8x-10] \\\\= 10x-35-8x+10 \\\\= (10x-8x)+(-35+10) \\\\= 2x-25 .\end{array}
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