5. Решите уравнение: а) \((\frac{31}{67} + x) - \frac{63}{67} = \frac{34}{67}\); б) \((x - \frac{32}{47}) + \frac{28}{47} = \frac{33}{47}\); в) \((\frac{37}{95} - x) - \frac{18}{95} = \frac{13}{95}\); г) \(\frac{39}{59} - (x - \frac{29}{59}) = \frac{24}{59}\).

а) \((\frac{31}{67} + x) - \frac{63}{67} = \frac{34}{67}\) \(\frac{31}{67} + x = \frac{34}{67} + \frac{63}{67}\) \(\frac{31}{67} + x = \frac{97}{67}\) \(x = \frac{97}{67} - \frac{31}{67}\) \(x = \frac{66}{67}\) б) \((x - \frac{32}{47}) + \frac{28}{47} = \frac{33}{47}\) \(x - \frac{32}{47} = \frac{33}{47} - \frac{28}{47}\) \(x - \frac{32}{47} = \frac{5}{47}\) \(x = \frac{5}{47} + \frac{32}{47}\) \(x = \frac{37}{47}\) в) \((\frac{37}{95} - x) - \frac{18}{95} = \frac{13}{95}\) \(\frac{37}{95} - x = \frac{13}{95} + \frac{18}{95}\) \(\frac{37}{95} - x = \frac{31}{95}\) \(x = \frac{37}{95} - \frac{31}{95}\) \(x = \frac{6}{95}\) г) \(\frac{39}{59} - (x - \frac{29}{59}) = \frac{24}{59}\) \(x - \frac{29}{59} = \frac{39}{59} - \frac{24}{59}\) \(x - \frac{29}{59} = \frac{15}{59}\) \(x = \frac{15}{59} + \frac{29}{59}\) \(x = \frac{44}{59}\) Ответ: а) \(\frac{66}{67}\); б) \(\frac{37}{47}\); в) \(\frac{6}{95}\); г) \(\frac{44}{59}\)