SOLUTION: Solve and check. 24/x-3 = 72/x+3

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Question 54462: Solve and check.
24/x-3 = 72/x+3

Answer by tutorcecilia(2152)   (Show Source): You can put this solution on YOUR website!
24/x-3 = 72/x+3 [Find the LCD= (x-3)(x+3)]
.
(x-3)(x+3)(24/x-3) = (x-3)(x+3)(72/x+30) [Multiply each fraction by the LCD]
.
(x+3)(24) = (x-3)(72) [Cancel wherever possible]
.
(24x+72) = (72x-216) [Simplify]
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24x+72-72x+216=0 [Set the equation equal to zero]
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-48x+288=0 [Combine like-terms]
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-48x+288-288=0-288=0 [Solve for x]
-48x=-288
x=-288/-48
6
.
Check by plugging (x=6) back into the original equation.

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