nếu \(x\ge0\Rightarrow\left|x+2\right|+\left|x+3\right|=x+2+x+3=10\)
\(\Rightarrow x+2+x+3=10\)
\(2x+5=10\)
\(x=\frac{5}{2}\)
nếu \(x< 0\Rightarrow\left|x+2\right|+\left|x+3\right|=-\left(x+2\right)+\left[-\left(x+3\right)\right]\)
\(-\left(x+2\right)+\left[-\left(x+3\right)\right]=10\)
\(-x-2-x-3=10\)
\(-2x-5=10\)
\(x=\frac{-15}{2}\)