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