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3x-3+2\left(x-2\right)=x+1
Use the distributive property to multiply 3 by x-1.
3x-3+2x-4=x+1
Use the distributive property to multiply 2 by x-2.
5x-3-4=x+1
Combine 3x and 2x to get 5x.
5x-7=x+1
Subtract 4 from -3 to get -7.
5x-7-x=1
Subtract x from both sides.
4x-7=1
Combine 5x and -x to get 4x.
4x=1+7
Add 7 to both sides.
4x=8
Add 1 and 7 to get 8.
x=\frac{8}{4}
Divide both sides by 4.
x=2
Divide 8 by 4 to get 2.