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\frac{1}{3}x+5+\frac{1}{6}x=21
Add \frac{1}{6}x to both sides.
\frac{1}{2}x+5=21
Combine \frac{1}{3}x and \frac{1}{6}x to get \frac{1}{2}x.
\frac{1}{2}x=21-5
Subtract 5 from both sides.
\frac{1}{2}x=16
Subtract 5 from 21 to get 16.
x=16\times 2
Multiply both sides by 2, the reciprocal of \frac{1}{2}.
x=32
Multiply 16 and 2 to get 32.