Answer
No, it is not a solution.
Work Step by Step
$5x=\frac{1}{3}$
$5(\frac{3}{5})\overset?=\frac{1}{3}$
$(\frac{15}{5})\overset?=\frac{1}{3}$
$(\frac{15\div5}{5\div5})\overset?=\frac{1}{3}$
$\frac{3}{1}\overset?=\frac{1}{3}\ X$
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