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x-2x+4>8
Use the distributive property to multiply -2 by x-2.
-x+4>8
Combine x and -2x to get -x.
-x>8-4
Subtract 4 from both sides.
-x>4
Subtract 4 from 8 to get 4.
x<-4
Divide both sides by -1. Since -1 is negative, the inequality direction is changed.