Ta thấy: \(\left\{{}\begin{matrix}\left|x+1\right|\ge0\\\left|x-2\right|\ge0\\\left|x+7\right|\ge0\end{matrix}\right.\forall x\in Z\)
\(\Rightarrow VT\ge0\Rightarrow VP\ge0\Rightarrow5x-10\ge0\Rightarrow x\ge2\)
\(pt\Leftrightarrow x+1+x-2+x+7=5x-10\)
\(\Leftrightarrow3x+6=5x-10\)
\(\Leftrightarrow2x=16\Leftrightarrow x=8\) (thỏa mãn)