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x>2
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13-\frac{5}{2}x<8
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
-\frac{5}{2}x<8-13
Subtract 13 from both sides.
-\frac{5}{2}x<-5
Subtract 13 from 8 to get -5.
x>-5\left(-\frac{2}{5}\right)
Multiply both sides by -\frac{2}{5}, the reciprocal of -\frac{5}{2}. Since -\frac{5}{2} is negative, the inequality direction is changed.
x>2
Multiply -5 times -\frac{2}{5}.
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