Solve for x
x=-8
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\left(x-1\right)\times 4=\left(x-4\right)\times 3
Variable x cannot be equal to any of the values 1,4 since division by zero is not defined. Multiply both sides of the equation by \left(x-4\right)\left(x-1\right), the least common multiple of x-4,x-1.
4x-4=\left(x-4\right)\times 3
Use the distributive property to multiply x-1 by 4.
4x-4=3x-12
Use the distributive property to multiply x-4 by 3.
4x-4-3x=-12
Subtract 3x from both sides.
x-4=-12
Combine 4x and -3x to get x.
x=-12+4
Add 4 to both sides.
x=-8
Add -12 and 4 to get -8.
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