SOLUTION: (2a-3 over a-3) -2 = (12 over a+2) solve for a. helpp! please :)

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Question 199030: (2a-3 over a-3) -2 = (12 over a+2)
solve for a.
helpp! please :)
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
(2a-3 over a-3) -2 = (12 over a+2)
%282a-3%29%2F%28a-3%29+-+2+=+12%2F%28a%2B2%29
Multiplying both sides by (a+2)(a-3) we get:
%282a-3%29%28a%2B2%29+-+2%28a%2B2%29%28a-3%29+=+12%28a-3%29
%282a%5E2%2B4a-3a-6%29+-+2%28a%5E2-3a%2B2a-6%29+=+12a-36
%282a%5E2%2Ba-6%29+-+2%28a%5E2-a-6%29+=+12a-36
%282a%5E2%2Ba-6%29+-+%282a%5E2-2a-12%29+=+12a-36
2a%5E2%2Ba-6+-+2a%5E2%2B2a%2B12+=+12a-36
a-6%2B2a%2B12+=+12a-36
3a%2B6+=+12a-36
45+=+9a
5+=+a