Solve for x
x=\frac{1}{2}=0.5
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-\left(x-1\right)=-2\left(x-\frac{3}{4}\right)
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 2,1-x.
-x+1=-2\left(x-\frac{3}{4}\right)
To find the opposite of x-1, find the opposite of each term.
-x+1=-2x+\frac{3}{2}
Use the distributive property to multiply -2 by x-\frac{3}{4}.
-x+1+2x=\frac{3}{2}
Add 2x to both sides.
x+1=\frac{3}{2}
Combine -x and 2x to get x.
x=\frac{3}{2}-1
Subtract 1 from both sides.
x=\frac{1}{2}
Subtract 1 from \frac{3}{2} to get \frac{1}{2}.
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