Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 4 - Chapters R-4 - Cumulative Review Exercises: 6

Answer

set of all real numbers

Work Step by Step

Use the Distributive Property and the properties of equality to solve the given equation, $ 3(x+2)-5(x+2)=-2x-4 .$ Using $a(b+c)=ab+ac$ or the Distributive Property, the equation above is equivalent to \begin{array}{l}\require{cancel} 3x+6-5x-10=-2x-4 .\end{array} Using the properties of equality, the solution to the equation above is \begin{array}{l}\require{cancel} 3x-5x+2x=-4-6+10 \\\\ 0=0 \text{ (TRUE)} .\end{array} Since the solution above ended with a TRUE statement, then the solution to the given equation is the $\text{ set of all real numbers .}$
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