Answer
$x=6$ or $x=-4$.
Work Step by Step
LCD$=3x$, thus multiplying both sides by the LCD: $2x(\frac{x}{2}-\frac{12}{x})=2x(1)\\x^2-2x-24=0\\x^2-6x+4x-24=0\\x(x-6)+4(x-6)=0\\(x-6)(x+4)=0$
Thus $x=6$ or $x=-4$.
Intermediate Algebra for College Students (7th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13417-894-7
ISBN 13:
978-0-13417-894-3
Chapter 6 - Section 6.6 - Rational Equations - Exercise Set - Page 462: 22
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