The hosts found no difficulty in overcoming Banks, who held them to a 1-1 draw in the first leg.
Egyptian international forward Eid put them ahead after 18 minutes when he converted a penalty.
Striker Abdul-Ghani doubled Hodoud's lead five minutes before the break when he pounced on the rebound after his initial header was parried by Banks keeper into his path.
Eid scored his second of the night in the 53rd minute after heading home a cross from Abdul-Ghani.
Mohamed Hamed added the fourth on the hour mark with a powerful shot from inside the area and Abdul-Ghani completed the rout with a close-range effort in stoppage time.
Hodoud, who are steadily climbing up the Egyptian Premier League title after recovering from a poor start, will face Tanzania's Simba in the next round.
"We had problems in the first half of the season but we have regained our top form," Abdul-Ghani said in a television interview after the match.
"Everybody was concerned but I can assure them now that this is the real Hodoud."
نرشح لكم
العودة من جديد.. اتحاد طنجة يعلن ضم عبد الحميد معالي
تقرير مغربي: بعد فسخ تعاقده مع الزمالك.. معالي يتمم تعاقده مع ناديه الجديد
كأس عاصمة مصر – تعادل سلبي بين المقاولون العرب وطلائع الجيش
العش: المنافسة في الأهلي تخدم الجميع.. ومطالبون دائما بالفوز فقط
قائمة الزمالك - عودة ناصر ماهر لمواجهة سموحة بـ كأس عاصمة مصر
كأس عاصمة مصر – فاركو ينفرد بالصدارة على حساب إنبي.. وتعادل الكهرباء والاتحاد
تقرير صربي: رادنيك يرفض عرضا ضحما من الأهلي لضم موهبة غانا
كاف يخطر الزمالك بمواعيد 3 جولات في الكونفدرالية












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