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\frac{1}{2}x+\frac{1}{3}x=3
Add \frac{1}{3}x to both sides.
\frac{5}{6}x=3
Combine \frac{1}{2}x and \frac{1}{3}x to get \frac{5}{6}x.
x=3\times \frac{6}{5}
Multiply both sides by \frac{6}{5}, the reciprocal of \frac{5}{6}.
x=\frac{3\times 6}{5}
Express 3\times \frac{6}{5} as a single fraction.
x=\frac{18}{5}
Multiply 3 and 6 to get 18.