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3x+2-1=-\left(x+1\right)+2\left(x-1\right)
Combine x and 2x to get 3x.
3x+1=-\left(x+1\right)+2\left(x-1\right)
Subtract 1 from 2 to get 1.
3x+1=-x-1+2\left(x-1\right)
To find the opposite of x+1, find the opposite of each term.
3x+1=-x-1+2x-2
Use the distributive property to multiply 2 by x-1.
3x+1=x-1-2
Combine -x and 2x to get x.
3x+1=x-3
Subtract 2 from -1 to get -3.
3x+1-x=-3
Subtract x from both sides.
2x+1=-3
Combine 3x and -x to get 2x.
2x=-3-1
Subtract 1 from both sides.
2x=-4
Subtract 1 from -3 to get -4.
x=\frac{-4}{2}
Divide both sides by 2.
x=-2
Divide -4 by 2 to get -2.