But not only slavs lived in West Hungary. This is the chronology of the arrival of conquerors according to Anonymus (and the original documents):
1. Álmos and the other leaders have entered the Carpathian Basin in Subcarpathia (Vereczke Pass) across the Havas Forest. Firstly they have conquered the first settlement by force and they gived a new name "Munkács" because the siege was not easy. They stayed here for 40 days.
(obviously Munkács was populated by slavs at this time)
2. Full conquest of southern Subcarpathia which was part of Bulgaria at this time, led by Salán bulgarian warlord, after the siege of Munkács the local slavs accepted the magyar rule.
3. Conquest of East Highland (Felvidék), they moved to Hungvár (now Ungvár) which means (city of hungarus), after the siege they stayed here for 4 days. It was the moment when the conquerors used the hungarus name for this ethnicity, they named them after the city.
4. The great military campaign to East Alföld, siege of Zemplén and Borsova (came from the hungarian borsó word) and defeat of bulgarian warlord Salán. These lands had hungarus majority ruled by bulgarians, in north (present day Borsod country) was populated by slavs and hungarus.
5. At this moment the capital was Ungvár, and they moved across the present day North Hungary, they conquered north West Hungary completely where slavs lived. Their capital was Komárom.
6. Conquest of most parts of Highland to the Tátra. The military chief of the campaign was Bors a hungarus leader.
7. Conquest of Bihar (the gate of Transylvania), Bihar was ruled by Mén-Marót hungarus leader who didn't want magyar rule in his land, so the magyars conquered it by force. It was the second hungarus vs conqueror battle.
8. Building fortresses in Szabolcs country (Szabolcs, Tas Vára), named by Szabolcs hungarus leader and Tas conqueror leader.
9. Conquest of another hungarus fortess Zilah, northern gate of Transylvania.
10. Buildig the "gyepű" a military defense line.
11. Agmánd a hungarus scout was send by Tétény conqueror leader to Transylvania to explore it. The land was populated by vlachs and slavs at this time, and obviously partly hungarus too because they also used hungarus topograpy.
12. Conquest of Transylvania, defeat Gyalú the vlach leader.
13. Conquest of south Partium.
14. According to Anonymus the conquerors firstly conquered the big cities, fortresses, but now they have conquered the complete areas including the full countryside everywhere.
15. A great military campaign to West Highland. Battles between conquerors and local slavs led by Zobor, magyars won.
16. A common greek-bulgarian attack against the conquerors and they have defeated by magyars in Csongrád.
17. Conquest of Southland (present day Vojvodina and Slavonia)
18. Anti-magyar uprising in south Partium led by Galád hungarus leader, his army was mostly bulgarian, vlach, turkic. This army was defeated by magyars.
19. Conquest of Transdanubia, West Hungary, the local slavs, roman survivors were defeated by magyars.
Territory of conquerors, and every changing:
https://i.imgur.com/y2Rmujw.jpg
Ethnic map at this time:
https://i.imgur.com/WGD5coU.jpg