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3x-2\left(x-3\right)=12
Multiply both sides of the equation by 12, the least common multiple of 4,6.
3x-2x+6=12
Use the distributive property to multiply -2 by x-3.
x+6=12
Combine 3x and -2x to get x.
x=12-6
Subtract 6 from both sides.
x=6
Subtract 6 from 12 to get 6.