Answer
$x=-\frac{1}{6}$ or $x=-3.75$
Work Step by Step
$|8+5x|=7-x$ implies $8+5x=7-x\\1=-6x\\x=-\frac{1}{6}$ or $8+5x=-7+x\\15=-4x\\x=-3.75$.
Here we don't have extraneous solutions.Thus $x=-\frac{1}{6}$ or $x=-3.75$
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: 39
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