Elementary Algebra

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

Chapter 4 - Proportions, Percents, and Solving Inequalities - Chapters 1-4 Cumulative Review Problem Set - Page 186: 30



Work Step by Step

First, we apply the distributive property in order to remove the parenthesis in the equation: $2(x-1)-3(x-2)=12$ $2x-2-3x+6=12$ To solve this equation, we will first collect the variable and the constants on the opposite sides of the equality sign. Then, we will perform arithmetic operations on the resultant equation: $2x-2-3x+6=12$ $2x-3x=12-6+2$ $-x=8$ $x=-8$ Therefore, the solution set is {$-8$}.
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