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3-8x<19
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
-8x<19-3
Subtract 3 from both sides.
-8x<16
Subtract 3 from 19 to get 16.
x>\frac{16}{-8}
Divide both sides by -8. Since -8 is negative, the inequality direction is changed.
x>-2
Divide 16 by -8 to get -2.