ĐKXĐ: \(x\ne-1\)
Ta có: \(\frac{5x}{2x+2}+1=\frac{-6}{x+1}\)
\(\Leftrightarrow\frac{5x}{2\left(x+1\right)}+1-\frac{-6}{x+1}=0\)
\(\Leftrightarrow\frac{5x}{2\left(x+1\right)}+\frac{2\left(x+1\right)}{2\left(x+1\right)}+\frac{12}{2\left(x+1\right)}=0\)
\(\Leftrightarrow5x+2x+2+12=0\)
\(\Leftrightarrow7x+14=0\)
\(\Leftrightarrow7x=-14\)
hay x=-2
Vậy: x=-2