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\frac{1}{2}x-1=3
Swap sides so that all variable terms are on the left hand side.
\frac{1}{2}x=3+1
Add 1 to both sides.
\frac{1}{2}x=4
Add 3 and 1 to get 4.
x=4\times 2
Multiply both sides by 2, the reciprocal of \frac{1}{2}.
x=8
Multiply 4 and 2 to get 8.