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2+\left(x-1\right)\times 2=-1
Variable x cannot be equal to 1 since division by zero is not defined. Multiply both sides of the equation by x-1, the least common multiple of x-1,1-x.
2+2x-2=-1
Use the distributive property to multiply x-1 by 2.
2x=-1
Subtract 2 from 2 to get 0.
x=\frac{-1}{2}
Divide both sides by 2.
x=-\frac{1}{2}
Fraction \frac{-1}{2} can be rewritten as -\frac{1}{2} by extracting the negative sign.