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If the house is in NM and son is breaching the lease agreement by failing to pay rent, then you as the landlord would have to formally evict him if you wanted him out and he refuses to leave. You would start first by giving him a written 3 day notice to pay rent or vacate. If he didnt' pay everything due within that 3 days after delivering the notice, then you can file a formal eviction action in court.
When the Landlord files a Petition by Owner for Restitution (i.e. eviction), sometimes called a Complaint in Forcible Entry or Unlawful Detainer, the Clerk of the Court will prepare a Service Packet, which includes the trial date, time and the assigned judge. You then have the sheriff serve the petition on the occupants.
The court date will generally be set for 7 to 10 days after the date the Landlord files the Petition with the court. If the judge awards a Judgment for Restitution in favor of the Landlord, the judge will set an eviction date, usually 3 to 7 days after the court date.
If the Tenant does not move by the date set by the judge, the Landlord can ask the clerk to issue a Writ of Restitution ordering the Sheriff to remove the Tenant. After the clerk issues the Writ of Restitution, the Landlord may deliver the Writ to the Sheriff’s Department. The Sheriff will then go to the property and evict the Tenant.
Let me know if you have further questions.