Solve for x
x=40
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x\times 120=\left(x-8\right)\times 150
Variable x cannot be equal to any of the values 0,8 since division by zero is not defined. Multiply both sides of the equation by x\left(x-8\right), the least common multiple of x-8,x.
x\times 120=150x-1200
Use the distributive property to multiply x-8 by 150.
x\times 120-150x=-1200
Subtract 150x from both sides.
-30x=-1200
Combine x\times 120 and -150x to get -30x.
x=\frac{-1200}{-30}
Divide both sides by -30.
x=40
Divide -1200 by -30 to get 40.
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