No matter what kind of object we were iterating over or how that object was implemented, it would be almost impossible for x = 2*x to do anything useful to that object. x = 2*x is an assignment to the variable x; even if the previous contents of the x variable were obtained by iterating over some object, a new assignment to x would not affect the object we're iterating over.
In this specific case, iterating over a NumPy array with np.nditer(a, op_flags = ['readwrite']), each iteration of the loop sets x to a zero-dimensional array that's a writeable view of a cell of a. x[...] = 2*x writes to the contents of the zero-dimensional array, rather than rebinding the x variable. Since the array is a view of a cell of a, this assignment writes to the corresponding cell of a.
This is very similar to the difference between l = [] and l[:] = [] with ordinary lists, where l[:] = [] will clear an existing list and l = [] will replace the list with a new, empty list without modifying the original. Lists don't support views or zero-dimensional lists, though.