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4x-8>5\left(x+1\right)-6
Use the distributive property to multiply 4 by x-2.
4x-8>5x+5-6
Use the distributive property to multiply 5 by x+1.
4x-8>5x-1
Subtract 6 from 5 to get -1.
4x-8-5x>-1
Subtract 5x from both sides.
-x-8>-1
Combine 4x and -5x to get -x.
-x>-1+8
Add 8 to both sides.
-x>7
Add -1 and 8 to get 7.
x<-7
Divide both sides by -1. Since -1 is negative, the inequality direction is changed.