Решение:
$$4\frac{13}{14}x - \frac{7}{15} = \frac{4}{21}$$
$$\frac{69}{14}x = \frac{4}{21} + \frac{7}{15}$$
$$\frac{69}{14}x = \frac{20}{105} + \frac{49}{105}$$
$$\frac{69}{14}x = \frac{69}{105}$$
$$x = \frac{69}{105} : \frac{69}{14}$$
$$x = \frac{69}{105} \cdot \frac{14}{69}$$
$$x = \frac{14}{105}$$
$$x = \frac{2}{15}$$
Ответ: $$x = \frac{2}{15}$$