Solve for x
x=60
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\left(x-10\right)\times 120=x\times 100
Variable x cannot be equal to any of the values 0,10 since division by zero is not defined. Multiply both sides of the equation by x\left(x-10\right), the least common multiple of x,x-10.
120x-1200=x\times 100
Use the distributive property to multiply x-10 by 120.
120x-1200-x\times 100=0
Subtract x\times 100 from both sides.
20x-1200=0
Combine 120x and -x\times 100 to get 20x.
20x=1200
Add 1200 to both sides. Anything plus zero gives itself.
x=\frac{1200}{20}
Divide both sides by 20.
x=60
Divide 1200 by 20 to get 60.
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