\(x+\left(x+1\right)+\left(x+2\right)+.......+\left(x+19\right)+\left(x+20\right)=20\)
\(\Leftrightarrow\left(x+x+...+x\right)+\left(1+2+.......+20\right)=20\)
\(\Leftrightarrow21x+210=20\)
\(\Leftrightarrow21x=-190\)
\(\Leftrightarrow x=\dfrac{-190}{21}\)
\(x+\left(x+1\right)+\left(x+2\right)+...+\left(x+19\right)+\left(x+20\right)=20\)