Solve for x
x=10
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x\times 80=\left(x-2\right)\times 100
Variable x cannot be equal to any of the values 0,2 since division by zero is not defined. Multiply both sides of the equation by x\left(x-2\right), the least common multiple of x-2,x.
x\times 80=100x-200
Use the distributive property to multiply x-2 by 100.
x\times 80-100x=-200
Subtract 100x from both sides.
-20x=-200
Combine x\times 80 and -100x to get -20x.
x=\frac{-200}{-20}
Divide both sides by -20.
x=10
Divide -200 by -20 to get 10.
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