5. Решите уравнение: 1) $$7\frac{5}{24} - x = 2\frac{5}{16}$$; 2) $$(x + \frac{5}{12}) - \frac{9}{20} = \frac{11}{15}$$.

Решим уравнения:

1. $$7\frac{5}{24} - x = 2\frac{5}{16}$$
   $$x = 7\frac{5}{24} - 2\frac{5}{16}$$
   $$x = 7 + \frac{5}{24} - 2 - \frac{5}{16}$$
   $$x = 5 + \frac{5}{24} - \frac{5}{16}$$
   $$x = 5 + \frac{10}{2 \cdot 24} - \frac{15}{3 \cdot 16}$$
   $$x = 5 + \frac{10}{48} - \frac{15}{48}$$
   $$x = 5 - \frac{5}{48}$$
   $$x = 4\frac{48}{48} + \frac{48 - 5}{48}$$
   $$x = 4\frac{43}{48}$$
   Ответ: $$x = 4\frac{43}{48}$$
2. $$(x + \frac{5}{12}) - \frac{9}{20} = \frac{11}{15}$$
   $$x + \frac{5}{12} = \frac{11}{15} + \frac{9}{20}$$
   $$x + \frac{5}{12} = \frac{44}{60} + \frac{27}{60}$$
   $$x + \frac{5}{12} = \frac{71}{60}$$
   $$x = \frac{71}{60} - \frac{5}{12}$$
   $$x = \frac{71}{60} - \frac{25}{60}$$
   $$x = \frac{46}{60}$$
   $$x = \frac{23}{30}$$
   Ответ: $$x = \frac{23}{30}$$