SOLUTION: x-a/x-b=x-c/x-d :x please help me solve for the indicated letter..... thank you.....

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Question 666617: x-a/x-b=x-c/x-d :x

please help me solve for the indicated letter..... thank you.....

Answer by swincher4391(1107) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x:
%28x-a%29%2F%28x-b%29+=+%28x-c%29%2F%28x-d%29
Cross multiply
%28x-a%29%28x-d%29+=+%28x-b%29%28x-c%29
x%5E2-ax-dx+%2Bad+=+x%5E2+-bx+-+cx+%2B+bc
-ax-dx%2Bad+=+-bx-cx%2Bbc
-ax+-dx+%2Bbx+%2Bcx+=+bc-ad
%28-a-d%2Bb%2Bc%29x+=+bc-ad
x+=+%28bc-ad%29+%2F%28b%2Bc-a-d%29