Solve for x
x=-37
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\left(x+7\right)\times 7=\left(x-5\right)\times 5
Variable x cannot be equal to any of the values -7,5 since division by zero is not defined. Multiply both sides of the equation by \left(x-5\right)\left(x+7\right), the least common multiple of x-5,x+7.
7x+49=\left(x-5\right)\times 5
Use the distributive property to multiply x+7 by 7.
7x+49=5x-25
Use the distributive property to multiply x-5 by 5.
7x+49-5x=-25
Subtract 5x from both sides.
2x+49=-25
Combine 7x and -5x to get 2x.
2x=-25-49
Subtract 49 from both sides.
2x=-74
Subtract 49 from -25 to get -74.
x=\frac{-74}{2}
Divide both sides by 2.
x=-37
Divide -74 by 2 to get -37.
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