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\frac{1}{3}x+60-\frac{3}{4}x=0
Subtract \frac{3}{4}x from both sides.
-\frac{5}{12}x+60=0
Combine \frac{1}{3}x and -\frac{3}{4}x to get -\frac{5}{12}x.
-\frac{5}{12}x=-60
Subtract 60 from both sides. Anything subtracted from zero gives its negation.
x=-60\left(-\frac{12}{5}\right)
Multiply both sides by -\frac{12}{5}, the reciprocal of -\frac{5}{12}.
x=\frac{-60\left(-12\right)}{5}
Express -60\left(-\frac{12}{5}\right) as a single fraction.
x=\frac{720}{5}
Multiply -60 and -12 to get 720.
x=144
Divide 720 by 5 to get 144.