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18-3x=2x-12
Multiply both sides of the equation by 6, the least common multiple of 2,3.
18-3x-2x=-12
Subtract 2x from both sides.
18-5x=-12
Combine -3x and -2x to get -5x.
-5x=-12-18
Subtract 18 from both sides.
-5x=-30
Subtract 18 from -12 to get -30.
x=\frac{-30}{-5}
Divide both sides by -5.
x=6
Divide -30 by -5 to get 6.