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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
Subtract 3 from both sides. Anything subtracted from zero gives its negation.
x=-3\left(-5\right)
Multiply both sides by -5, the reciprocal of -\frac{1}{5}.
x=15
Multiply -3 and -5 to get 15.