3. Решите уравнения: 1) 32 – (5 + x) = -24; 2) \(\frac{5}{6} - (\frac{7}{12} - x) = \frac{1}{6}\).

Решение:

1. \( 32 - (5 + x) = -24 \)
   \( 32 - 5 - x = -24 \)
   \( 27 - x = -24 \)
   \( -x = -24 - 27 \)
   \( -x = -51 \)
   \( x = 51 \)
2. \( \frac{5}{6} - (\frac{7}{12} - x) = \frac{1}{6} \)
   \( \frac{5}{6} - \frac{7}{12} + x = \frac{1}{6} \)
   \( \frac{10}{12} - \frac{7}{12} + x = \frac{2}{12} \)
   \( \frac{3}{12} + x = \frac{2}{12} \)
   \( \frac{1}{4} + x = \frac{1}{6} \)
   \( x = \frac{1}{6} - \frac{1}{4} \)
   \( x = \frac{2}{12} - \frac{3}{12} \)
   \( x = -\frac{1}{12} \)

Ответ: 1) 51; 2) -\(\frac{1}{12}\).