SOLUTION: I need help solving please. x-1/x+2 = 5/7 Thank you

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Question 327717: I need help solving please.
x-1/x+2 = 5/7
Thank you
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
%28x-1%29%2F%28x%2B2%29+=+5%2F7+
we can cross multiply here
7(x-1) = 5(x+2)
:
7x - 7 = 5x + 10
:
7x - 5x = 10 + 7
:
2x = 17
x = 17%2F2
x = 8.5
:
:
Check solution in original problem; %28x-1%29%2F%28x%2B2%29+=+5%2F7+
replace x with 8.5
%288.5-1%29%2F%288.5%2B2%29+=+5%2F7+
%287.5%29%2F%2810.5%29+=+5%2F7+
calculate to decimals
.714 = .714; confirms solution