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2x+1-3=0
The opposite of -1 is 1.
2x-2=0
Subtract 3 from 1 to get -2.
2x=2
Add 2 to both sides. Anything plus zero gives itself.
x=\frac{2}{2}
Divide both sides by 2.
x=1
Divide 2 by 2 to get 1.