\(\dfrac{8}{x}+\dfrac{1}{5}=\dfrac{2}{5}+\dfrac{1}{3}\)
\(\dfrac{8}{x}+\dfrac{1}{5}=\dfrac{6}{15}+\dfrac{5}{15}\)
\(\dfrac{8}{x}+\dfrac{1}{5}=\dfrac{11}{15}\)
\(\dfrac{8}{x}=\dfrac{11}{15}-\dfrac{1}{5}\)
\(\dfrac{8}{x}=\dfrac{11}{15}-\dfrac{3}{15}\)
\(\dfrac{8}{x}=\dfrac{8}{15}\)
\(x=\dfrac{15\times8}{8}\)
\(x=15\)