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4-x=2x-2
Multiply both sides of the equation by 4, the least common multiple of 4,2.
4-x-2x=-2
Subtract 2x from both sides.
-x-2x=-2-4
Subtract 4 from both sides.
-x-2x=-6
Subtract 4 from -2 to get -6.
-3x=-6
Combine -x and -2x to get -3x.
x=\frac{-6}{-3}
Divide both sides by -3.
x=2
Divide -6 by -3 to get 2.