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x-6-2x>-2
Subtract 2x from both sides.
-x-6>-2
Combine x and -2x to get -x.
-x>-2+6
Add 6 to both sides.
-x>4
Add -2 and 6 to get 4.
x<-4
Divide both sides by -1. Since -1 is negative, the inequality direction is changed.