Overly simplistic view from scratch: Individuals start businesses to offer other individuals and businesses goods and services. Wealth transfers daily to and from many individuals/businesses. Where does this definition fall apart/breakdown as you start to zoom in (or out)?
What's important to keep in mind is that while money may transfer, utility doesn't. Utility is generally increasing on both sides of the exchange, otherwise one party wouldn't have entered the exchange.
This isn't always true (e.g gambling or opioid addiction), but it's true enough most of the time and explains why trade happens in the very first place.
An analogy would be to start looking at a water molecule, H2O, and then trying to explain glaciers and oceans without any sort of similar system to use as a model.
That definition seems to be a bit too broad. So maybe there needs to be compensation. But then the determinists would say that even gift-giving has compensation (in the form of reciprocity) and thus isn't much different from credit. So the compensation should be something closer to monetary compensation. But then barter economies have no businesses. Etc.
"define why individuals are offering goods and services to one another."