Solve for x
x=\frac{1}{6}\approx 0.166666667
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6x-3\left(2x-3\right)=6-2\left(3x-2\right)
Multiply both sides of the equation by 6, the least common multiple of 2,3.
6x-6x+9=6-2\left(3x-2\right)
Use the distributive property to multiply -3 by 2x-3.
9=6-2\left(3x-2\right)
Combine 6x and -6x to get 0.
9=6-6x+4
Use the distributive property to multiply -2 by 3x-2.
9=10-6x
Add 6 and 4 to get 10.
10-6x=9
Swap sides so that all variable terms are on the left hand side.
-6x=9-10
Subtract 10 from both sides.
-6x=-1
Subtract 10 from 9 to get -1.
x=\frac{-1}{-6}
Divide both sides by -6.
x=\frac{1}{6}
Fraction \frac{-1}{-6} can be simplified to \frac{1}{6} by removing the negative sign from both the numerator and the denominator.
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