add √5 on both sides,
[tex]\begin{gathered} \frac{m}{2}-\sqrt{5}+\sqrt{5}=3+\sqrt{5} \\ \frac{m}{2}=3+\sqrt{5} \end{gathered}[/tex]multiply by 2 on both idesm and simplify,
[tex]\begin{gathered} \frac{m}{2}\times(2)=2\times(3+\sqrt{5}) \\ m=6+2\sqrt{5} \end{gathered}[/tex]Answer:
[tex]m=6+2\sqrt{5}[/tex]