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3\left(x+3\right)-2\left(x-1\right)=12
Multiply both sides of the equation by 6, the least common multiple of 2,3.
3x+9-2\left(x-1\right)=12
Use the distributive property to multiply 3 by x+3.
3x+9-2x+2=12
Use the distributive property to multiply -2 by x-1.
x+9+2=12
Combine 3x and -2x to get x.
x+11=12
Add 9 and 2 to get 11.
x=12-11
Subtract 11 from both sides.
x=1
Subtract 11 from 12 to get 1.