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2x-2-4x<12
Subtract 4x from both sides.
-2x-2<12
Combine 2x and -4x to get -2x.
-2x<12+2
Add 2 to both sides.
-2x<14
Add 12 and 2 to get 14.
x>\frac{14}{-2}
Divide both sides by -2. Since -2 is negative, the inequality direction is changed.
x>-7
Divide 14 by -2 to get -7.