5. Решите уравнение: 1) \(x-\frac{9}{23}=\frac{5}{23}\); 2) \(\left(\frac{6}{35}-x\right)+\frac{8}{35}=\frac{12}{35}\); 3) \(\frac{27}{41}-\frac{x}{41}=\frac{9}{41}\).

1. \(x-\frac{9}{23}=\frac{5}{23}\)
   \(x=\frac{5}{23}+\frac{9}{23}=\frac{14}{23}\).
2. \(\frac{6}{35}-x+\frac{8}{35}=\frac{12}{35}\)
   \(\frac{14}{35}-x=\frac{12}{35}\)
   \(-x=-\frac{2}{35}\)
   \(x=\frac{2}{35}\).
3. \(\frac{27}{41}-\frac{x}{41}=\frac{9}{41}\)
   \(\frac{x}{41}=\frac{27}{41}-\frac{9}{41}=\frac{18}{41}\)
   \(x=18\).

Ответ: 1) \(x=\frac{14}{23}\); 2) \(x=\frac{2}{35}\); 3) \(x=18\).