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x-6>2x+4
Multiply both sides of the equation by 2. Since 2 is positive, the inequality direction remains the same.
x-6-2x>4
Subtract 2x from both sides.
-x-6>4
Combine x and -2x to get -x.
-x>4+6
Add 6 to both sides.
-x>10
Add 4 and 6 to get 10.
x<-10
Divide both sides by -1. Since -1 is negative, the inequality direction is changed.