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-4x-48<2x-6
Use the distributive property to multiply -4 by x+12.
-4x-48-2x<-6
Subtract 2x from both sides.
-6x-48<-6
Combine -4x and -2x to get -6x.
-6x<-6+48
Add 48 to both sides.
-6x<42
Add -6 and 48 to get 42.
x>\frac{42}{-6}
Divide both sides by -6. Since -6 is negative, the inequality direction is changed.
x>-7
Divide 42 by -6 to get -7.