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\frac{1}{12}x-\frac{1}{3}x>-1-5
Combine \frac{1}{4}x and -\frac{1}{6}x to get \frac{1}{12}x.
-\frac{1}{4}x>-1-5
Combine \frac{1}{12}x and -\frac{1}{3}x to get -\frac{1}{4}x.
-\frac{1}{4}x>-6
Subtract 5 from -1 to get -6.
x<-6\left(-4\right)
Multiply both sides by -4, the reciprocal of -\frac{1}{4}. Since -\frac{1}{4} is negative, the inequality direction is changed.
x<24
Multiply -6 and -4 to get 24.