Up to 10. After that, there are no more slots in either player's zone for Equip cards to be placed.
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you can equip it with up to five equip cards unless you have other spell or trap cards on the field then you could only equip it with as many free spaces there are There is no limit to how many cards can be equipped to a monster unless it says so on the card. The only limit is how many you can have on the field at one time, so the de facto limit is 10 (5 on your side of the field and 5 on your opponent's side of the field).
Monster cards do not have life points and there is no concept of 'damaging' a monster card except for battle. In battle a monster either dies or it does not, there is no accumulating damage such as in Magic the Gathering. A monster can fight off an infinite amount of monsters that are weaker than it, but is destroyed if it battles with one of equal or greater power.
Synchro monsters are indeed powerful, but just remember they are just like any other monster card. The best way to defeat many of them is to use cards that remove them from play or send them back into the Extra Deck. Destroying and sending them to the Graveyard is not always the best option since:"Stardust Dragon", a popular Synchro monster, can negate cards that destroy like "Mirror Force", so "Dimmensional Prison" is recommended since it doesn't destroy; it just removes from play.Even if you have a strong monster, "Colossal Fighter", another popular Synchro, can reborn its self again and again if destroyed in battle.And mainly, "Monster Reborn" makes it super easy for them to return. Sure you can "Monster Reborn" the monster yourself, but it's often too risky.If you want to stop Synchro Summoning in the first place, an anti-Special Summon deck is a good idea. Use cards like "Vanity's Fiend", "Royal Oppression", "Fossil Dyna Pachycephalo", and many more.
Hermos is not a real monster card, not even in the show. He was not summoned to fight directly, like the other two legendary dragons, he would be combined with another card. In Hermos' case, he would be combined to make a new Equip card.
You need to tribute 2 monsters to summon a Lv7 or more monster, so you need 2 for a 'Blue-Eyes White Dragon'.