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4-5x<24
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
-5x<24-4
Subtract 4 from both sides.
-5x<20
Subtract 4 from 24 to get 20.
x>\frac{20}{-5}
Divide both sides by -5. Since -5 is negative, the inequality direction is changed.
x>-4
Divide 20 by -5 to get -4.