Ta có \(\left(x+1\right)+\left(x+2\right)+\left(x+3\right)+.....+\left(x+2017\right)=0\)
\(\Leftrightarrow99x+1+2+3+...+2017=0\)
\(\Leftrightarrow99x+\frac{2017\left(2017+1\right)}{2}=0\)
\(\Leftrightarrow99x+2035153=0\)
\(\Rightarrow x=-\frac{2035153}{99}=-20557.10101\)