SOLUTION: Can someone explain how to do this: (2x-5)/(x-3) -2= (3)/(x+3)

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Question 371112: Can someone explain how to do this: (2x-5)/(x-3) -2= (3)/(x+3)

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
(2x-5)/(x-3) -2= (3)/(x+3)
%282x-5%29%2F%28x-3%29+-2=+%283%29%2F%28x%2B3%29
..
%282x-5%29%2F%28x-3%29+-%283%29%2F%28x%2B3%29=2
..
LCD = (x-3)(x+3)
..
%28%282x-5%29%28x%2B3%29-3%28x-3%29%29%2F%28x-3%29%28x%2B3%29+=2
..
%28%282x%5E2%2Bx-15%29-3x%2B9%29%2F%28x-3%29%28x%2B3%29=2
..
%282x%5E2-2x-6%29%2F%28x-3%29%28x%2B3%29+=2
...
2%28x%5E2-x-3%29%2F%28x-3%29%28x%2B3%29+=2
..
/2
%28x%5E2-x-3%29%2F%28x-3%29%28x%2B3%29+=1
..
%28x%5E2-x-3%29=%28x%5E2-9%29
..
x^2 cancels off
-x-3=9
+3 +3
-x=-6
/-1
x=6
...
m.ananth@hotmail.ca