\(\left(\frac{2}{11.13}+\frac{2}{13.15}+...+\frac{2}{19.21}\right).462-\left[2,04:\left(x+1,05\right):0,12\right]=19\)
\(\Leftrightarrow\left(\frac{1}{11}-\frac{1}{13}+\frac{1}{13}-\frac{1}{15}+...+\frac{1}{19}-\frac{1}{21}\right).462-\left[2,04:\left(x+1,05\right):0,12\right]=19\)
\(\Leftrightarrow\left(\frac{1}{11}-\frac{1}{21}\right).462-\left[2,04:\left(x+1,05\right):0,12\right]=19\)
\(\Leftrightarrow\frac{10}{231}.462-\left[2,04:\left(x+1,05\right):0,12\right]=19\)
\(\Leftrightarrow20-\left[2,04:\left(x+1,05\right):0,12\right]=19\)
\(\Leftrightarrow2,04:\left(x+1,05\right):0,12=1\)
\(\Leftrightarrow2,05:\left(x+1,05\right)=0,12\)
\(\Leftrightarrow x+1,05=\frac{205}{12}\)
\(\Leftrightarrow x=\frac{205}{12}-1,05\)
\(\Leftrightarrow x=\frac{481}{30}\)