\(\left|x+3\right|+2\left|6+2x\right|+2016=4016\)
\(\left|x+3\right|+2\left|6+2x\right|=4016-2016\)
\(\left|x+3\right|+2\times2\left|3+x\right|=2000\)
\(1\left|x+3\right|+4\left|x+3\right|=2000\)
\(\left|x+3\right|\left(1+4\right)=2000\)
\(5\left|x+3\right|=2000\)
\(\left|x+3\right|=2000:5\)
\(\left|x+3\right|=400\)
Vậy x=-403 hoặc 397