Solve for x
x>12
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\frac{1}{4}x+3-\frac{2}{3}x<-2
Subtract \frac{2}{3}x from both sides.
-\frac{5}{12}x+3<-2
Combine \frac{1}{4}x and -\frac{2}{3}x to get -\frac{5}{12}x.
-\frac{5}{12}x<-2-3
Subtract 3 from both sides.
-\frac{5}{12}x<-5
Subtract 3 from -2 to get -5.
x>-5\left(-\frac{12}{5}\right)
Multiply both sides by -\frac{12}{5}, the reciprocal of -\frac{5}{12}. Since -\frac{5}{12} is negative, the inequality direction is changed.
x>12
Multiply -5 times -\frac{12}{5}.
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