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2-3x+x<4
Add x to both sides.
2-2x<4
Combine -3x and x to get -2x.
-2x<4-2
Subtract 2 from both sides.
-2x<2
Subtract 2 from 4 to get 2.
x>\frac{2}{-2}
Divide both sides by -2. Since -2 is negative, the inequality direction is changed.
x>-1
Divide 2 by -2 to get -1.