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 R - Elementary Algebra Review - R.2 Equations, Inequalities, and Problem Solving - R.2 Exercise Set: 24

Answer

$m=-\dfrac{20}{7}$

Work Step by Step

Using $a(b+c)=ab+ac$ (or the Distributive Property) and combining like terms, the value of the variable that satisfies the given expression, $ 2(5-m)=5(6+m) ,$ is \begin{array}{l}\require{cancel} 10-2m=30+5m \\\\ -2m-5m=30-10 \\\\ -7m=20 \\\\ m=\dfrac{20}{-7} \\\\ m=-\dfrac{20}{7} .\end{array}
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