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\frac{1}{2}x-3=6
Swap sides so that all variable terms are on the left hand side.
\frac{1}{2}x=6+3
Add 3 to both sides.
\frac{1}{2}x=9
Add 6 and 3 to get 9.
x=9\times 2
Multiply both sides by 2, the reciprocal of \frac{1}{2}.
x=18
Multiply 9 and 2 to get 18.