Narrated Wail ibn Hujr: I offered prayer along with the Prophet ﷺ. He would give the salutation to his right side (saying): Peace be upon you and mercy of Allah; and to his left side (saying): Peace be upon you and mercy of Allah.
Hadith Referenceسنن ابي داود / أبواب تفريع استفتاح الصلاة / 997
Hadith Gradingالألبانی:صحيح | زبیر علی زئی:إسناده حسن
The tradition mentioned above has also been transmitted by Abu Hurairah through a different chain from the prophet ﷺ. A transmitter Saeed bin Saeed said: I know him that he traced this tradition back to the prophet ﷺ. Abu Dawud said: Abu Nuaim transmitted it from Musa bin Qais, from Muhammad bin Ajlan, from Saeed, on the authority of Abu Hurairah, from the prophet ﷺ.
Hadith Referenceسنن ابي داود / كتاب الأدب / 5035
Hadith Gradingالألبانی:حسن | زبیر علی زئی:ضعيف, إسناده ضعيف, شك ابن عجلان فيه و عنعن أيضًا, انوار الصحيفه، صفحه نمبر 174