Solve for x
x=20
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11\left(x-10\right)=10\left(x-9\right)
Variable x cannot be equal to 9 since division by zero is not defined. Multiply both sides of the equation by 11\left(x-9\right), the least common multiple of x-9,11.
11x-110=10\left(x-9\right)
Use the distributive property to multiply 11 by x-10.
11x-110=10x-90
Use the distributive property to multiply 10 by x-9.
11x-110-10x=-90
Subtract 10x from both sides.
x-110=-90
Combine 11x and -10x to get x.
x=-90+110
Add 110 to both sides.
x=20
Add -90 and 110 to get 20.
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