Alter one's address to earn sympathy in the Commons (4,5)

'alter one's address to earn sympathy in the commons' is the definition.
I know nothing about this answer so I cannot tell whether this works.

'alter one's address to earn sympathy in the commons' is the wordplay.
I cannot really see how this works, but
'alter' could be 'move' (moving is a kind of altering) and 'move' is present in the answer.
'the commons' could be 'house' (House of Commons) and 'house' is found in the answer.
This accounts for all the letters.
This explanation may well be incorrect...

Can you help me to learn more?