4. Решите уравнение: a) (\(\frac{29}{50}\) + x) - \(\frac{21}{50}\) = \(\frac{27}{50}\); б) (x - \(\frac{25}{34}\)) + \(\frac{27}{34}\) = \(\frac{33}{34}\); в) (\(\frac{36}{43}\) - x) - \(\frac{17}{43}\) = \(\frac{13}{43}\); г) \(\frac{32}{41}\) - (x - \(\frac{29}{41}\)) = \(\frac{26}{41}\).

a) (\(\frac{29}{50}\) + x) - \(\frac{21}{50}\) = \(\frac{27}{50}\)

\(\frac{29}{50}\) + x = \(\frac{27}{50} + \frac{21}{50}\)

\(\frac{29}{50}\) + x = \(\frac{48}{50}\)

x = \(\frac{48}{50} - \frac{29}{50}\)

x = \(\frac{19}{50}\)

Ответ: \(\frac{19}{50}\)

б) (x - \(\frac{25}{34}\)) + \(\frac{27}{34}\) = \(\frac{33}{34}\)

x - \(\frac{25}{34}\) = \(\frac{33}{34} - \frac{27}{34}\)

x - \(\frac{25}{34}\) = \(\frac{6}{34}\)

x = \(\frac{6}{34} + \frac{25}{34}\)

x = \(\frac{31}{34}\)

Ответ: \(\frac{31}{34}\)

в) (\(\frac{36}{43}\) - x) - \(\frac{17}{43}\) = \(\frac{13}{43}\)

\(\frac{36}{43}\) - x = \(\frac{13}{43} + \frac{17}{43}\)

\(\frac{36}{43}\) - x = \(\frac{30}{43}\)

x = \(\frac{36}{43} - \(\frac{30}{43}\)

x = \(\frac{6}{43}\)

Ответ: \(\frac{6}{43}\)

г) \(\frac{32}{41}\) - (x - \(\frac{29}{41}\)) = \(\frac{26}{41}\)

x - \(\frac{29}{41}\) = \(\frac{32}{41} - \frac{26}{41}\)

x - \(\frac{29}{41}\) = \(\frac{6}{41}\)

x = \(\frac{6}{41} + \frac{29}{41}\)

x = \(\frac{35}{41}\)

Ответ: \(\frac{35}{41}\)