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3x-2\left(x-1\right)=3+2\left(x+3\right)
Multiply 1 and 3 to get 3.
3x-2x+2=3+2\left(x+3\right)
Use the distributive property to multiply -2 by x-1.
x+2=3+2\left(x+3\right)
Combine 3x and -2x to get x.
x+2=3+2x+6
Use the distributive property to multiply 2 by x+3.
x+2=9+2x
Add 3 and 6 to get 9.
x+2-2x=9
Subtract 2x from both sides.
-x+2=9
Combine x and -2x to get -x.
-x=9-2
Subtract 2 from both sides.
-x=7
Subtract 2 from 9 to get 7.
x=-7
Multiply both sides by -1.