Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 1 - Some Basic Concepts of Arithmetic and Algebra - Chapter 1 Review Problem Set - Page 38: 50

Answer

$2x+7$

Work Step by Step

We start with the given expression: $5(x-4)-3(x-9)$ We use the distributive property to expand the expression: $5x-20-3x+27$ We use the commutative property to group like terms: $5x-3x+27-20$ We combine the like terms using subtraction: $(5-3)x+27-20=2x+7$
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