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17-2x-x<5
Subtract x from both sides.
17-3x<5
Combine -2x and -x to get -3x.
-3x<5-17
Subtract 17 from both sides.
-3x<-12
Subtract 17 from 5 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.