\(\left\{{}\begin{matrix}\left|x+1\right|\ge0\\\left|x+2\right|\ge0\\\left|x+3\right|\ge0\\\left|x+4\right|\ge0\end{matrix}\right.\Rightarrow\left|x+1\right|+\left|x+2\right|+\left|x+3\right|+\left|x+4\right|\ge0\)
\(\Rightarrow8x\ge0\Rightarrow x\ge0\)
\(\Rightarrow x+1+x+2+x+3+x+4=8x\)
\(\Rightarrow4x+10=8x\)
\(\Rightarrow4x=10\)
\(\Rightarrow x=2,5\)
Vậy x = 2,5
\(\left|x+1\right|+\left|x+2\right|+\left|x+3\right|+\left|x+4\right|=8x\)
\(\left|x+1\right|\ge0;\left|x+2\right|\ge0;\left|x+3\right|\ge0;\left|x+4\right|\ge0\)
\(\Rightarrow\left|x+1\right|+\left|x+2\right|+\left|x+3\right|+\left|x+4\right|\ge0\)
\(\Rightarrow8x\ge0\)
\(\Rightarrow x+1+x+2+x+3+x+4=8x\)
\(\Rightarrow4x+10=8x\)
\(\Rightarrow4x=10\Rightarrow x=\dfrac{5}{2}\)
