Answer
$-\frac{1}{10}$
Work Step by Step
$\frac{3x}{3x+1}=\frac{x-2}{x+5} \Longrightarrow 3x(x+5)=(x-2)(3x+1) \Longrightarrow 3x^2+15x=3x^2-6x+x-2 \Longrightarrow 20x=-2 \Longrightarrow x=-\frac{1}{10}$. Check answer, it is good.
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 3 - Polynomial and Rational Functions - Section 3.5 The Graph of a Rational Function - 3.5 Assess Your Understanding - Page 258: 79
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