SOLUTION: Solve for w: (w-7/w-6)=(w-3/w-2)+1

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Question 317161: Solve for w:
(w-7/w-6)=(w-3/w-2)+1
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
%28w-7%29%2F%28w-6%29=%28w-3%29%2F%28w-2%29%2B1
Multiply both sides by %28w-6%29%28w-2%29
%28w-7%29%28w-2%29=%28w-3%29%28w-6%29%2B%28w-6%29%28w-2%29
%28w-7%29%28w-2%29=%28w-6%29%28w-3%2Bw-2%29
%28w-7%29%28w-2%29=%28w-6%29%282w-5%29
w%5E2-9w%2B14=2w%5E2-17w%2B30
w%5E2-8w%2B16=0
%28w-4%29%5E2=0
w-4=0
highlight%28w=4%29
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.
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Verify the solution.
%284-7%29%2F%284-6%29=%284-3%29%2F%284-2%29%2B1
%28-3%29%2F%28-2%29=%281%29%2F%282%29%2B1
3%2F2=3%2F2
True, good solution.