Given
[tex]17\frac{5}{8}=0.2(x+15)[/tex]To solve for x.
Now,
It is given that,
[tex]17\frac{5}{8}=0.2(x+15)[/tex]Since
[tex]\begin{gathered} 17\frac{5}{8}=\frac{17\times8+5}{8} \\ =\frac{141}{8} \end{gathered}[/tex]Then,
[tex]\begin{gathered} 17\frac{5}{8}=0.2(x+15) \\ \frac{141}{8}=0.2(x+15) \\ 141=0.2\times8(x+15) \\ 141=1.6x+24 \\ 1.6x=141-24 \\ 1.6x=117 \\ x=\frac{117}{1.6} \\ x=73\frac{1}{8} \end{gathered}[/tex]Hence, the value of x is,
[tex]73\frac{1}{8}[/tex]