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\frac{1}{2}x-30=52
Reduce the fraction \frac{50}{100} to lowest terms by extracting and canceling out 50.
\frac{1}{2}x=52+30
Add 30 to both sides.
\frac{1}{2}x=82
Add 52 and 30 to get 82.
x=82\times 2
Multiply both sides by 2, the reciprocal of \frac{1}{2}.
x=164
Multiply 82 and 2 to get 164.