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-8x-10>17
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
-8x>17+10
Add 10 to both sides.
-8x>27
Add 17 and 10 to get 27.
x<-\frac{27}{8}
Divide both sides by -8. Since -8 is negative, the inequality direction is changed.