\[b - \frac{5}{14}b = 5\frac{1}{7}\]
\[\frac{14}{14}b - \frac{5}{14}b = \frac{5 \cdot 7 + 1}{7}\]
\[\frac{9}{14}b = \frac{36}{7}\]
\[b = \frac{36}{7} : \frac{9}{14}\]
\[b = \frac{36}{7} \cdot \frac{14}{9}\]
\[b = \frac{36 \cdot 14}{7 \cdot 9}\]
\[b = \frac{4 \cdot 2}{1 \cdot 1}\]
\[b = 8\]
Ответ: b = 8