Intermediate Algebra (12th Edition)

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

Chapter 1 - Chapter 1 Test: 1

Answer

$x=-19$

Work Step by Step

$\bf{\text{Solution Outline:}}$ To solve the given equation, $ 3(2x-2)-4(x+6)=3x+8+x ,$ use the Distributive Property. Then use the properties of equality to combine like terms and to isolate the variable. $\bf{\text{Solution Details:}}$ Using the Distributive Property which is given by $a(b+c)=ab+ac,$ the equation above is equivalent to \begin{array}{l}\require{cancel} 3(2x)+3(-2)-4(x)-4(6)=3x+8+x \\\\ 6x-6-4x-24=3x+8+x .\end{array} Using the properties of equality to combine like terms and to isolate the variable results to \begin{array}{l}\require{cancel} 6x-6-4x-24=3x+8+x \\\\ 6x-4x-3x-x=8+6+24 \\\\ -2x=38 \\\\ x=\dfrac{38}{-2} \\\\ x=-19 .\end{array}
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