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\frac{1}{4}x+2-\frac{2}{3}x=-3
Subtract \frac{2}{3}x from both sides.
-\frac{5}{12}x+2=-3
Combine \frac{1}{4}x and -\frac{2}{3}x to get -\frac{5}{12}x.
-\frac{5}{12}x=-3-2
Subtract 2 from both sides.
-\frac{5}{12}x=-5
Subtract 2 from -3 to get -5.
x=-5\left(-\frac{12}{5}\right)
Multiply both sides by -\frac{12}{5}, the reciprocal of -\frac{5}{12}.
x=12
Multiply -5 times -\frac{12}{5}.