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3x-2\left(x-1\right)=12
Multiply both sides of the equation by 6, the least common multiple of 2,3.
3x-2x+2=12
Use the distributive property to multiply -2 by x-1.
x+2=12
Combine 3x and -2x to get x.
x=12-2
Subtract 2 from both sides.
x=10
Subtract 2 from 12 to get 10.