Solve for x
x=10
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\left(x-1\right)\times 200=x\times 180
Variable x cannot be equal to any of the values 0,1 since division by zero is not defined. Multiply both sides of the equation by x\left(x-1\right), the least common multiple of x,x-1.
200x-200=x\times 180
Use the distributive property to multiply x-1 by 200.
200x-200-x\times 180=0
Subtract x\times 180 from both sides.
20x-200=0
Combine 200x and -x\times 180 to get 20x.
20x=200
Add 200 to both sides. Anything plus zero gives itself.
x=\frac{200}{20}
Divide both sides by 20.
x=10
Divide 200 by 20 to get 10.
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