Solve for x
x=5
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\left(x-2\right)\times 4=\left(x-4\right)\times 12
Variable x cannot be equal to any of the values 2,4 since division by zero is not defined. Multiply both sides of the equation by \left(x-4\right)\left(x-2\right), the least common multiple of x-4,x-2.
4x-8=\left(x-4\right)\times 12
Use the distributive property to multiply x-2 by 4.
4x-8=12x-48
Use the distributive property to multiply x-4 by 12.
4x-8-12x=-48
Subtract 12x from both sides.
-8x-8=-48
Combine 4x and -12x to get -8x.
-8x=-48+8
Add 8 to both sides.
-8x=-40
Add -48 and 8 to get -40.
x=\frac{-40}{-8}
Divide both sides by -8.
x=5
Divide -40 by -8 to get 5.
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