Lời giải:
\(\frac{5x+3}{2\frac{1}{7}}=\frac{\frac{7}{15}}{5x+3}\)
\(\Rightarrow (5x+3)(5x+3)=2\frac{1}{7}.\frac{7}{15}=1\)
\(\Leftrightarrow (5x+3)^2=1=1^2=(-1)^2\)
\(\Rightarrow \left[\begin{matrix} 5x+3=1\\ 5x+3=-1\end{matrix}\right.\Rightarrow \left[\begin{matrix} x=\frac{-2}{5}\\ x=-\frac{4}{5}\end{matrix}\right.\)