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3\left(x-2\right)-x=-12
Multiply both sides of the equation by 6, the least common multiple of 2,6.
3x-6-x=-12
Use the distributive property to multiply 3 by x-2.
3x-x=-12+6
Add 6 to both sides.
3x-x=-6
Add -12 and 6 to get -6.
2x=-6
Combine 3x and -x to get 2x.
x=\frac{-6}{2}
Divide both sides by 2.
x=-3
Divide -6 by 2 to get -3.