Ta có: \(\left|x+2\right|\ge0;\left|x+5\right|\ge0;\left|x+9\right|\ge0;\left|x+11\right|\ge0\)
\(\Rightarrow\left|x+2\right|+\left|x+5\right|+\left|x+9\right|+\left|x+11\right|\ge0\)
\(\Rightarrow5x\ge0\Rightarrow x\ge0\)
=> |x+2|+|x+5|+|x+9|+|x+11|=5x
=> x+2+x+5+x+9+x+11 = 5x
=> 4x + 27 = 5x
=> x = 27