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x+2-3x>-4
Subtract 3x from both sides.
-2x+2>-4
Combine x and -3x to get -2x.
-2x>-4-2
Subtract 2 from both sides.
-2x>-6
Subtract 2 from -4 to get -6.
x<\frac{-6}{-2}
Divide both sides by -2. Since -2 is negative, the inequality direction is changed.
x<3
Divide -6 by -2 to get 3.