This is fundamentally how inheritance works in Python: for class-level variables, it first checks' the classes namespace, then the namespace of every class in the method resolution order. So, both B and C inherit x from A:
In [1]: class A(object):
...: x = 1
...: class B(A):
...: pass
...: class C(A):
...: pass
...:
In [2]: vars(A)
Out[2]:
mappingproxy({'__module__': '__main__',
'x': 1,
'__dict__': <attribute '__dict__' of 'A' objects>,
'__weakref__': <attribute '__weakref__' of 'A' objects>,
'__doc__': None})
In [3]: vars(B)
Out[3]: mappingproxy({'__module__': '__main__', '__doc__': None})
In [4]: vars(C)
Out[4]: mappingproxy({'__module__': '__main__', '__doc__': None})
When you ask for B.x or C.x, it looks into that class namespace, doesn't find any "x", then tries A's namespace, finds it, and returns it.
Now, when you assign a variable to B.x = 2, that adds it to B's class namespace directly:
In [5]: B.x = 2
...:
In [6]: vars(B)
Out[6]: mappingproxy({'__module__': '__main__', '__doc__': None, 'x': 2})
And similarly, when you assign it to A.x=3, it overwrites the old value:
In [7]: A.x=3
...:
In [8]: vars(A)
Out[8]:
mappingproxy({'__module__': '__main__',
'x': 3,
'__dict__': <attribute '__dict__' of 'A' objects>,
'__weakref__': <attribute '__weakref__' of 'A' objects>,
'__doc__': None})
In [9]: vars(B)
Out[9]: mappingproxy({'__module__': '__main__', '__doc__': None, 'x': 2})
In [10]: vars(C)
Out[10]: mappingproxy({'__module__': '__main__', '__doc__': None})
So now, same as before, when you look for C.x, it doesn't find it's own, then it looks for x inside A, and finds it.
Note, inheritance works like this with instances too, just it checks the instance namespace first, then the instances class's namespace, then all the namespace of the classes in it's method resolution order.