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3x-\left(2-x-\left(-1\right)\right)=x
To find the opposite of x-1, find the opposite of each term.
3x-\left(2-x+1\right)=x
The opposite of -1 is 1.
3x-\left(3-x\right)=x
Add 2 and 1 to get 3.
3x-3-\left(-x\right)=x
To find the opposite of 3-x, find the opposite of each term.
3x-3+x=x
The opposite of -x is x.
4x-3=x
Combine 3x and x to get 4x.
4x-3-x=0
Subtract x from both sides.
3x-3=0
Combine 4x and -x to get 3x.
3x=3
Add 3 to both sides. Anything plus zero gives itself.
x=\frac{3}{3}
Divide both sides by 3.
x=1
Divide 3 by 3 to get 1.