`|x+2|+|2x+10|=0`
`<=>`$\left[\begin{matrix} |x+2|=0\\ |2x+10|=0\end{matrix}\right.$
`<=>`$\left[\begin{matrix} x+2=0\\ 2x+10=0\end{matrix}\right.$
`<=>`$\left[\begin{matrix} x=-2\\ 2x=-10\end{matrix}\right.$
`<=>`$\left[\begin{matrix} x=-2\\ x=-10:2\end{matrix}\right.$
`<=>`$\left[\begin{matrix} x=-2\\ x=-5\end{matrix}\right.$
Vậy `x`$\in$ `{-2; -5}`