Answer :

[tex]5(n+2)=\frac{3}{5}(5+10n) \\\\ 5n+10= \frac{3}{5}*5(1+2n) \\\\ 5n+10=3(1+2n) \\\\ 5n+10=3+6n \\\\ 5n-6n=3-10 \\\\ -n=-7 \\\\ \boxed{n=7} [/tex]
[tex]5(n+2)=\frac{3}{5}(5+10n)\\\\5\times n+5\times2=\frac{3}{5}\times5+\frac{3}{5}\times10n\\\\5n+10=3+3\times2n\\\\5n+10=3+6n\ \ \ \ \ |subtract\ 10\ from\ both\ sides\\\\5n=-7+6n\ \ \ \ \ |subtract\ 6n\ from\ both\ sides\\\\-n=-7\\\\\boxed{n=7}[/tex]