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x\times 90=\left(x-20\right)\times 150
Variable x cannot be equal to any of the values 0,20 since division by zero is not defined. Multiply both sides of the equation by x\left(x-20\right), the least common multiple of x-20,x.
x\times 90=150x-3000
Use the distributive property to multiply x-20 by 150.
x\times 90-150x=-3000
Subtract 150x from both sides.
-60x=-3000
Combine x\times 90 and -150x to get -60x.
x=\frac{-3000}{-60}
Divide both sides by -60.
x=50
Divide -3000 by -60 to get 50.