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-2\left(1+x\right)=x-1
Variable x cannot be equal to 1 since division by zero is not defined. Multiply both sides of the equation by 2\left(x-1\right), the least common multiple of 1-x,2.
-2-2x=x-1
Use the distributive property to multiply -2 by 1+x.
-2-2x-x=-1
Subtract x from both sides.
-2-3x=-1
Combine -2x and -x to get -3x.
-3x=-1+2
Add 2 to both sides.
-3x=1
Add -1 and 2 to get 1.
x=\frac{1}{-3}
Divide both sides by -3.
x=-\frac{1}{3}
Fraction \frac{1}{-3} can be rewritten as -\frac{1}{3} by extracting the negative sign.