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: 83

Answer

$13x+33$

Work Step by Step

Using $a(b+c)=ab+ac$ or the Distributive Property and then combining like terms, the given expression, $ 3x-2+5(2x+7) $, simplifies to \begin{array}{l}\require{cancel} 3x-2+5(2x)+5(7) \\\\= 3x-2+10x+35 \\\\= (3x+10x)+(-2+35) \\\\= 13x+33 .\end{array}
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