Answer
$x=0.5$ or $x=\frac{1}{14}$
Work Step by Step
$|8x-1|=6x$ implies $8x-1=6x\\-1=-2x\\x=0.5$ or $8x-1=-6x\\-1=-14x\\x=\frac{1}{14}$.
Here we have no extraneous solutions. Thus $x=0.5$ or $x=\frac{1}{14}$.
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: 36
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