Solve for x
x=\frac{5}{7}\approx 0.714285714
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-3\left(3x-2\right)=-\left(2x-1\right)
Variable x cannot be equal to \frac{1}{2} since division by zero is not defined. Multiply both sides of the equation by 3\left(2x-1\right), the least common multiple of 1-2x,3.
-9x+6=-\left(2x-1\right)
Use the distributive property to multiply -3 by 3x-2.
-9x+6=-2x+1
To find the opposite of 2x-1, find the opposite of each term.
-9x+6+2x=1
Add 2x to both sides.
-7x+6=1
Combine -9x and 2x to get -7x.
-7x=1-6
Subtract 6 from both sides.
-7x=-5
Subtract 6 from 1 to get -5.
x=\frac{-5}{-7}
Divide both sides by -7.
x=\frac{5}{7}
Fraction \frac{-5}{-7} can be simplified to \frac{5}{7} by removing the negative sign from both the numerator and the denominator.
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