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x-2-3x<0
Subtract 3x from both sides.
-2x-2<0
Combine x and -3x to get -2x.
-2x<2
Add 2 to both sides. Anything plus zero gives itself.
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.