1. x + 2\(\frac{7}{16}\) = 5\(\frac{3}{16}\) 2. 12\(\frac{1}{4}\) - x = 6\(\frac{3}{4}\) 3. x - 7\(\frac{8}{11}\) = 2\(\frac{5}{11}\) 4. x + 3\(\frac{5}{12}\) = 8 5. 6\(\frac{3}{15}\) - x = 3\(\frac{6}{15}\)

Решение:

1. \( x + 2\frac{7}{16} = 5\frac{3}{16} \)
   \( x = 5\frac{3}{16} - 2\frac{7}{16} \)
   \( x = 4\frac{19}{16} - 2\frac{7}{16} \)
   \( x = 2\frac{12}{16} = 2\frac{3}{4} \)
2. \( 12\frac{1}{4} - x = 6\frac{3}{4} \)
   \( x = 12\frac{1}{4} - 6\frac{3}{4} \)
   \( x = 11\frac{5}{4} - 6\frac{3}{4} \)
   \( x = 5\frac{2}{4} = 5\frac{1}{2} \)
3. \( x - 7\frac{8}{11} = 2\frac{5}{11} \)
   \( x = 2\frac{5}{11} + 7\frac{8}{11} \)
   \( x = 9\frac{13}{11} = 10\frac{2}{11} \)
4. \( x + 3\frac{5}{12} = 8 \)
   \( x = 8 - 3\frac{5}{12} \)
   \( x = 7\frac{12}{12} - 3\frac{5}{12} \)
   \( x = 4\frac{7}{12} \)
5. \( 6\frac{3}{15} - x = 3\frac{6}{15} \)
   \( x = 6\frac{3}{15} - 3\frac{6}{15} \)
   \( x = 5\frac{18}{15} - 3\frac{6}{15} \)
   \( x = 2\frac{12}{15} = 2\frac{4}{5} \)

Ответ: 1. \( 2\frac{3}{4} \); 2. \( 5\frac{1}{2} \); 3. \( 10\frac{2}{11} \); 4. \( 4\frac{7}{12} \); 5. \( 2\frac{4}{5} \).