Solve for x
x=-2
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2\left(1-x\right)=x+2\left(x-2\right)\left(-1\right)
Variable x cannot be equal to 2 since division by zero is not defined. Multiply both sides of the equation by 2\left(x-2\right), the least common multiple of x-2,2x-4.
2-2x=x+2\left(x-2\right)\left(-1\right)
Use the distributive property to multiply 2 by 1-x.
2-2x=x-2\left(x-2\right)
Multiply 2 and -1 to get -2.
2-2x=x-2x+4
Use the distributive property to multiply -2 by x-2.
2-2x=-x+4
Combine x and -2x to get -x.
2-2x+x=4
Add x to both sides.
2-x=4
Combine -2x and x to get -x.
-x=4-2
Subtract 2 from both sides.
-x=2
Subtract 2 from 4 to get 2.
x=-2
Multiply both sides by -1.
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Limits
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