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