\(\frac{x}{x+4}=\frac{5}{6}=>6x=5\left(x+4\right)=5x+20\)
\(=>6x-5x=20=>x=20\)
áp dụng \(\frac{a}{b}=\frac{c}{d}< =>a.d=b.c\)
\(\frac{x+4}{20}=\frac{5}{x+4}\)
\(\Rightarrow\left(x+4\right)^2=20.5=100=10^2\)
\(\Rightarrow\orbr{\begin{cases}x+4=10\\x+4=-10\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=6\\x=-14\end{cases}}\)