Elementary Algebra

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

Chapter 3 - Equations and Problem Solving - Chapter 3 Review Problem Set: 11

Answer

$x=$the set of all real numbers

Work Step by Step

Using the properties of equality, the value of the variable that satisfies the given equation, $ 3(2x+4)-5=6x+7 ,$ is \begin{array}{l}\require{cancel} 6x+12-5=6x+7 \\\\ 6x-6x=7-12+5 \\\\ 0=0 \text{ (TRUE)} .\end{array} Since the solution above ended with a TRUE statement, then the solution is the set of all real numbers.
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