ĐKXĐ: `x-1\ne0<=>x\ne1` ; `x+4\ne0<=>x\ne-4`
\(\dfrac{7}{x-1}=\dfrac{5}{x+4}\\ \Leftrightarrow7\left(x+4\right)=5\left(x-1\right)\\ \Leftrightarrow7x+28=5x-5\\ \Leftrightarrow7x-5x=-5-28\\ \Leftrightarrow2x=-33\\ \Leftrightarrow x=-\dfrac{33}{2}\left(tm\right)\)