Решаем уравнение:
\[5\frac{3}{4} - \left(1\frac{1}{5} + 2x\right) = 2\frac{17}{20}\]
\[\frac{23}{4} - \left(\frac{6}{5} + 2x\right) = \frac{57}{20}\]
\[\frac{6}{5} + 2x = \frac{23}{4} - \frac{57}{20}\]
\[\frac{6}{5} + 2x = \frac{23 \cdot 5 - 57}{20} = \frac{115 - 57}{20} = \frac{58}{20} = \frac{29}{10}\]
\[2x = \frac{29}{10} - \frac{6}{5} = \frac{29 - 12}{10} = \frac{17}{10}\]
\[x = \frac{17}{20}\]
Ответ: \[x = \frac{17}{20}\]