SOLUTION: (4)/(x-7x)-(2y)/(y-2)=(-1)/(2xy+x) solve for x

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Question 1074736: (4)/(x-7x)-(2y)/(y-2)=(-1)/(2xy+x)
solve for x
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
(4)/(x-7x)-(2y)/(y-2)=(-1)/(2xy+x)

%284%29%2F%28x-7x%29-%282y%29%2F%28y-2%29=%28-1%29%2F%282xy%2Bx%29

One of the denominators simplifies.
%28-4%29%2F%286x%29-%282y%29%2F%28y-2%29=%28-1%29%2F%282xy%2Bx%29

And for clarity,
%28-4%29%2F%286x%29-%282y%29%2F%28y-2%29=%28-1%29%2F%28x%282y%2B1%29%29

%28-2%29%2F%283x%29-%282y%29%2F%28y-2%29=%28-1%29%2F%28x%282y%2B1%29%29

Simplest common denominator is 3x%28y-2%29%282y%2B1%29.
Multiply left and right sides of the equation by 3x%28y-2%29%282y%2B1%29.
Simplify and then solve.