5. Решите уравнение. 1) \(8\frac{9}{10} - x = 4\frac{5}{6}\); 2) \(\frac{9}{14} + (x - \frac{3}{7}) = \frac{23}{28}\).

1) \(8\frac{9}{10} - x = 4\frac{5}{6}\)

\(x = 8\frac{9}{10} - 4\frac{5}{6}\)

\(x = 8\frac{27}{30} - 4\frac{25}{30}\)

\(x = 4\frac{2}{30}\)

\(x = 4\frac{1}{15}\)

2) \(\frac{9}{14} + (x - \frac{3}{7}) = \frac{23}{28}\)

\(x - \frac{3}{7} = \frac{23}{28} - \frac{9}{14}\)

\(x - \frac{3}{7} = \frac{23}{28} - \frac{18}{28}\)

\(x - \frac{3}{7} = \frac{5}{28}\)

\(x = \frac{5}{28} + \frac{3}{7}\)

\(x = \frac{5}{28} + \frac{12}{28}\)

\(x = \frac{17}{28}\)

Ответ: 1) \(4\frac{1}{15}\); 2) \(\frac{17}{28}\)