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5x+2-8x<14
Subtract 8x from both sides.
-3x+2<14
Combine 5x and -8x to get -3x.
-3x<14-2
Subtract 2 from both sides.
-3x<12
Subtract 2 from 14 to get 12.
x>\frac{12}{-3}
Divide both sides by -3. Since -3 is negative, the inequality direction is changed.
x>-4
Divide 12 by -3 to get -4.