Answer
$x=-4$
Work Step by Step
$\displaystyle \frac{1}{x+3}+\frac{5}{x^{2}-9}=\frac{2}{x-3}$
We multiply both sides by $(x-3)(x+3)$:
$(x-3)+5=2(x+3)$
And distribute:
$x+2=2x+6$
And solve for $x$:
$x=-4$
College Algebra 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305115546
ISBN 13:
978-1-30511-554-5
Chapter P, Prerequisites - Section P.8 - Solving Basic Equations - P.8 Exercises - Page 60: 52
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