Solve for x
x = \frac{3}{2} = 1\frac{1}{2} = 1.5
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1+\left(x-1\right)\left(-2\right)=0
Variable x cannot be equal to 1 since division by zero is not defined. Multiply both sides of the equation by x-1.
1-2x+2=0
Use the distributive property to multiply x-1 by -2.
3-2x=0
Add 1 and 2 to get 3.
-2x=-3
Subtract 3 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-3}{-2}
Divide both sides by -2.
x=\frac{3}{2}
Fraction \frac{-3}{-2} can be simplified to \frac{3}{2} by removing the negative sign from both the numerator and the denominator.
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