Answer
x = 15
Work Step by Step
Original Equation
$\frac{6}{x+3}$ = $\frac{4}{x-3}$
Multiply equation by the LCD, (x+3)(x-3) to get rid of denominators
6(x-3) = 4(x+3)
Distribute
6x-18 = 4x+12
Simplify
2x = 30
Divide by 2 to find x
x = 15
Intermediate Algebra (6th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321785045
ISBN 13:
978-0-32178-504-6
Chapter 6 - Section 6.5 - Solving Equations Containing Rational Expressions - Exercise Set - Page 377: 14
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