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x+1-2x+2=0
Subtract 5 from 6 to get 1.
-x+1+2=0
Combine x and -2x to get -x.
-x+3=0
Add 1 and 2 to get 3.
-x=-3
Subtract 3 from both sides. Anything subtracted from zero gives its negation.
x=3
Multiply both sides by -1.