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\frac{5}{6}x+1200=x
Combine \frac{1}{3}x and \frac{1}{2}x to get \frac{5}{6}x.
\frac{5}{6}x+1200-x=0
Subtract x from both sides.
-\frac{1}{6}x+1200=0
Combine \frac{5}{6}x and -x to get -\frac{1}{6}x.
-\frac{1}{6}x=-1200
Subtract 1200 from both sides. Anything subtracted from zero gives its negation.
x=-1200\left(-6\right)
Multiply both sides by -6, the reciprocal of -\frac{1}{6}.
x=7200
Multiply -1200 and -6 to get 7200.