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\frac{1}{3}x+\frac{1}{2}x=5
Add \frac{1}{2}x to both sides.
\frac{5}{6}x=5
Combine \frac{1}{3}x and \frac{1}{2}x to get \frac{5}{6}x.
x=5\times \frac{6}{5}
Multiply both sides by \frac{6}{5}, the reciprocal of \frac{5}{6}.
x=6
Cancel out 5 and 5.