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2-5x+2x<8
Add 2x to both sides.
2-3x<8
Combine -5x and 2x to get -3x.
-3x<8-2
Subtract 2 from both sides.
-3x<6
Subtract 2 from 8 to get 6.
x>\frac{6}{-3}
Divide both sides by -3. Since -3 is negative, the inequality direction is changed.
x>-2
Divide 6 by -3 to get -2.