Does the Moto X and the Moto E have the same size SIM card?
All of the SIM cards for the legacy models are unique the phone’s serial number. They must stay with the phone they are in even if these phones are sold. None of them contain any personal information.
@billg is correct SIMs should not be swap in legacy phones as LTE SIMs in CDMA phone they are link to the Phone and not or your account (or network as the Phone is the link to the network)
that said the Moto X, Moto X 2nd and Moto X Pure (3rd) all use a Nano sized SIM card
while the Moto E and Moto E 2nd use a micro sized SIM card
so no they do not