Solve for x
x=\frac{1}{3}\approx 0.333333333
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x-1-\left(2x-1\right)\times 2=0
Variable x cannot be equal to any of the values \frac{1}{2},1 since division by zero is not defined. Multiply both sides of the equation by \left(x-1\right)\left(2x-1\right), the least common multiple of 2x-1,x-1.
x-1-\left(4x-2\right)=0
Use the distributive property to multiply 2x-1 by 2.
x-1-4x+2=0
To find the opposite of 4x-2, find the opposite of each term.
-3x-1+2=0
Combine x and -4x to get -3x.
-3x+1=0
Add -1 and 2 to get 1.
-3x=-1
Subtract 1 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-1}{-3}
Divide both sides by -3.
x=\frac{1}{3}
Fraction \frac{-1}{-3} can be simplified to \frac{1}{3} by removing the negative sign from both the numerator and the denominator.
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