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4X-5-8X>1
Subtract 8X from both sides.
-4X-5>1
Combine 4X and -8X to get -4X.
-4X>1+5
Add 5 to both sides.
-4X>6
Add 1 and 5 to get 6.
X<\frac{6}{-4}
Divide both sides by -4. Since -4 is negative, the inequality direction is changed.
X<-\frac{3}{2}
Reduce the fraction \frac{6}{-4} to lowest terms by extracting and canceling out 2.