Vì :
\(\left|x+1\right|\ge0\)
\(\left|x-2\right|\ge0\)
\(\left|x+7\right|\ge0\)
\(\Rightarrow\left|x+1\right|+\left|x-2\right|+\left|x+7\right|\ge0\)
\(\Rightarrow5x-10\ge0\Leftrightarrow5x\ge10\Rightarrow x\ge2\)
\(\Rightarrow x+1+x-2+x+7=5x-10\)
\(\Rightarrow3x+6=5x-10\)
\(\Rightarrow3x-5x=-10-6\)
\(\Leftrightarrow-2x=-16\)
\(\Rightarrow x=8\)
5x -10 >/ 0 => x >/ 2
tac có các | .số dương..| = nó
=> x+1 + x -2 + x+7 = 5x -10
=> x =8