Solve for x
x=-\frac{1}{2}=-0.5
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2-6+6x=3\left(x-2\right)-x
Use the distributive property to multiply -2 by 3-3x.
-4+6x=3\left(x-2\right)-x
Subtract 6 from 2 to get -4.
-4+6x=3x-6-x
Use the distributive property to multiply 3 by x-2.
-4+6x=2x-6
Combine 3x and -x to get 2x.
-4+6x-2x=-6
Subtract 2x from both sides.
-4+4x=-6
Combine 6x and -2x to get 4x.
4x=-6+4
Add 4 to both sides.
4x=-2
Add -6 and 4 to get -2.
x=\frac{-2}{4}
Divide both sides by 4.
x=-\frac{1}{2}
Reduce the fraction \frac{-2}{4} to lowest terms by extracting and canceling out 2.
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