x - \(10\left(\frac{2}{11.13}+\frac{2}{13.15}+..+\frac{2}{53.55}\right)=22\)
\(x-10\left(\frac{1}{11}-\frac{1}{13}+\frac{1}{13}-\frac{1}{15}+..+\frac{1}{53}-\frac{1}{55}\right)=22\)
\(x-10\left(\frac{1}{11}-\frac{1}{55}\right)=22\)
\(x-10\cdot\frac{4}{55}=22\)
\(x-\frac{40}{55}=22\)
\(x=22+\frac{40}{55}=\frac{250}{11}\)