Answer :
[tex]\begin{gathered} \frac{x}{5}-\frac{5+x}{20}=\frac{7}{16} \\ \frac{x(20)-5(5+x)}{(5)(20)}=\frac{7}{16} \\ \frac{20x-25-5x}{100}=\frac{7}{16} \\ \frac{15x-25}{100}=\frac{7}{16} \\ 15x-25=(100)(\frac{7}{16}) \\ 15x-25=\frac{700}{16} \\ 15x=\frac{700}{16}+25 \\ 15x=\frac{275}{4} \\ x=\frac{275}{4(15)} \\ x=\frac{275}{60}=\frac{55}{12} \\ \text{The value of x is }\frac{55}{12} \end{gathered}[/tex]