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\frac{2}{9}x+6000-\frac{1}{3}x=0
Subtract \frac{1}{3}x from both sides.
-\frac{1}{9}x+6000=0
Combine \frac{2}{9}x and -\frac{1}{3}x to get -\frac{1}{9}x.
-\frac{1}{9}x=-6000
Subtract 6000 from both sides. Anything subtracted from zero gives its negation.
x=-6000\left(-9\right)
Multiply both sides by -9, the reciprocal of -\frac{1}{9}.
x=54000
Multiply -6000 and -9 to get 54000.