Solve for x
x=10
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\left(x-1\right)\times 21=\left(x-3\right)\times 27
Variable x cannot be equal to any of the values 1,3 since division by zero is not defined. Multiply both sides of the equation by \left(x-3\right)\left(x-1\right), the least common multiple of x-3,x-1.
21x-21=\left(x-3\right)\times 27
Use the distributive property to multiply x-1 by 21.
21x-21=27x-81
Use the distributive property to multiply x-3 by 27.
21x-21-27x=-81
Subtract 27x from both sides.
-6x-21=-81
Combine 21x and -27x to get -6x.
-6x=-81+21
Add 21 to both sides.
-6x=-60
Add -81 and 21 to get -60.
x=\frac{-60}{-6}
Divide both sides by -6.
x=10
Divide -60 by -6 to get 10.
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