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