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3x+1=3-2-\left(-2x\right)
To find the opposite of 2-2x, find the opposite of each term.
3x+1=3-2+2x
The opposite of -2x is 2x.
3x+1=1+2x
Subtract 2 from 3 to get 1.
3x+1-2x=1
Subtract 2x from both sides.
x+1=1
Combine 3x and -2x to get x.
x=1-1
Subtract 1 from both sides.
x=0
Subtract 1 from 1 to get 0.