Answer
$x=-0.2$
Work Step by Step
$|9-2x|=10+3x$ implies $9-2x=10+3x\\-5x=1\\x=-0.2$ or $9-2x=-10-3x\\19=-x\\x=-19$.
Here $x=-19$ is an extraneous solution. Thus $x=-0.2$
Algebra 2 (1st Edition)
by Larson, Ron; Boswell, Laurie; Kanold, Timothy D.; Stiff, Lee
Published by
McDougal Littell
ISBN 10:
0618595414
ISBN 13:
978-0-61859-541-9
Chapter 1, Equations and Inequalities - 1.7 Solve Absolute Value Equations and Inequalities - 1.7 Exercises - Skill Practice - Page 55: 38
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