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3-8x<51
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
-8x<51-3
Subtract 3 from both sides.
-8x<48
Subtract 3 from 51 to get 48.
x>\frac{48}{-8}
Divide both sides by -8. Since -8 is negative, the inequality direction is changed.
x>-6
Divide 48 by -8 to get -6.