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-6+2x>3\left(x+2\right)
Use the distributive property to multiply 2 by -3+x.
-6+2x>3x+6
Use the distributive property to multiply 3 by x+2.
-6+2x-3x>6
Subtract 3x from both sides.
-6-x>6
Combine 2x and -3x to get -x.
-x>6+6
Add 6 to both sides.
-x>12
Add 6 and 6 to get 12.
x<-12
Divide both sides by -1. Since -1 is negative, the inequality direction is changed.