Caution: Translations of Quran and Ḥadīth may lead to possible misapplications and misinterpretations. This site is intended for students of sacred knowledge that are proficient in comprehending classical Arabic and have a strong foundation in Islamic sciences. Also note that religious injunctions rely on several aspects beyond what one may glean through reading individual aḥādīth.
ibnmajah:402Muḥammad b. Yaḥyá > Abū Jaʿfar al-Nufaylī > Zuhayr b. Muʿāwiyah > al-Aʿmash > Abū Ṣāliḥ > Abū Hurayrah

"The Messenger of Allah said: 'When you perform ablution, start on the right.'" (Da'if) Another chain with similar wording.  

ابن ماجة:٤٠٢حَدَّثَنَا مُحَمَّدُ بْنُ يَحْيَى حَدَّثَنَا أَبُو جَعْفَرٍ النُّفَيْلِيُّ حَدَّثَنَا زُهَيْرُ بْنُ مُعَاوِيَةَ عَنِ الأَعْمَشِ عَنْ أَبِي صَالِحٍ عَنْ أَبِي هُرَيْرَةَ قَالَ

قَالَ رَسُولُ اللَّهِ ﷺ إِذَا تَوَضَّأْتُمْ فَابْدَءُوا بِمَيَامِنِكُمْ قَالَ أَبُو الْحَسَنِ بْنُ سَلَمَةَ حَدَّثَنَا أَبُو حَاتِمٍ حَدَّثَنَا يَحْيَى بْنُ صَالِحٍ وَابْنُ نُفَيْلٍ وَغَيْرُهُمَا قَالُوا حَدَّثَنَا زُهَيْرٌ فَذَكَرَ نَحْوَهُ