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Because the total enthalpy you end with is not dependent on the process you took to get to that point (like if I boil a pot of water and tell you it initially was 80 degrees and now its 150 degrees. You would tell me the temperature increased by 70 degrees, you wouldn't need to know how long I boiled the water or anything like that to determine the temperature). An example of a non-state variable would be something like calories burned on a hike, you would not only need to know where a person begun and finished a hike, but also the path and the way the moved in order to calculate the total calories burned.
Enthalpy is considered a state function because it only depends on two thermodynamic properties which describe the state of a substance at the moment (ex:temperature and pressure, temperature and entropy). It doesn't depend on the path the substance followed to get there.
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