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\frac{1}{5}x-3=0
Swap sides so that all variable terms are on the left hand side.
\frac{1}{5}x=3
Add 3 to both sides. Anything plus zero gives itself.
x=3\times 5
Multiply both sides by 5, the reciprocal of \frac{1}{5}.
x=15
Multiply 3 and 5 to get 15.