[Just mythoughts]

"The Bible lists the ages and years of birth of Adam and his descendents. Add that up through the destruction of the First Temple (which we know was in 586 b.c.e.) and you get 5765 years."

Isn't Adam referred to as 'the' Adam, and this age would not be speaking about the age of this earth?

[ChicagoHebrew]

Adam is given a specific age when he bears children and when he dies. So do each of his descendents. I'm not a creationist, but that's where creationism comes from -- along with the figure of roughly 6000 years.

So, technically, it would only be from Adam. But the Bible also says that Adam was created on the 6th day of creation... so it's the age of the earth too, for creationists.