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18x-12>21x+2
Use the distributive property to multiply 6 by 3x-2.
18x-12-21x>2
Subtract 21x from both sides.
-3x-12>2
Combine 18x and -21x to get -3x.
-3x>2+12
Add 12 to both sides.
-3x>14
Add 2 and 12 to get 14.
x<-\frac{14}{3}
Divide both sides by -3. Since -3 is negative, the inequality direction is changed.