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2x-6-3x>7
Subtract 3x from both sides.
-x-6>7
Combine 2x and -3x to get -x.
-x>7+6
Add 6 to both sides.
-x>13
Add 7 and 6 to get 13.
x<-13
Divide both sides by -1. Since -1 is negative, the inequality direction is changed.