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\frac{17}{18}x+12=x
Combine \frac{5}{6}x and \frac{1}{9}x to get \frac{17}{18}x.
\frac{17}{18}x+12-x=0
Subtract x from both sides.
-\frac{1}{18}x+12=0
Combine \frac{17}{18}x and -x to get -\frac{1}{18}x.
-\frac{1}{18}x=-12
Subtract 12 from both sides. Anything subtracted from zero gives its negation.
x=-12\left(-18\right)
Multiply both sides by -18, the reciprocal of -\frac{1}{18}.
x=216
Multiply -12 and -18 to get 216.