Solve for x
x=-1
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\left(x-1\right)\times 2=x\times 4
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.
2x-2=x\times 4
Use the distributive property to multiply x-1 by 2.
2x-2-x\times 4=0
Subtract x\times 4 from both sides.
-2x-2=0
Combine 2x and -x\times 4 to get -2x.
-2x=2
Add 2 to both sides. Anything plus zero gives itself.
x=\frac{2}{-2}
Divide both sides by -2.
x=-1
Divide 2 by -2 to get -1.
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Limits
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