SOLUTION: X+2/X+6 = X-1/X+5

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Question 126255: X+2/X+6 = X-1/X+5
Answer by MathLover1(20850) About Me  (Show Source):
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%28x%2B2%29%2F%28x%2B6%29+=+%28x-1%29%2F%28x%2B5%29……….cross multiply
%28x%2B2%29%28x%2B5%29+=+%28x-1%29%28x%2B6%29……….
x%5E2+%2B+5x+%2B2x+%2B10+=+x%5E2+%2B+6x+-1x+-6……….

cross%28x%5E2%29+%2B+7x+%2B10+=+cross%28x%5E2%29+%2B+5x+-6……….
+7x+-+5x+=+-6+-10……….
+2x+=+-16……….
+x+=+-8……….

Check:
%28-8%2B2%29%2F%28+-8%2B6%29+=+%28-8-1%29%2F%28+-8%2B5%29……….
%28-6%29%2F%28+-2%29+=+%28-9%29%2F%28+-3%29……….
3+=+3……….