Step 1: Written Notice to Vacate. Unless the lease agreement says otherwise, the landlord must give the tenant at least 3 days to move out.This article answers some common questions about subleasing and each party's rights in a sublease agreement. Jurisdiction: File the eviction suit in the Justice of the Peace Court in the precinct where the rental property is located. HUD requires the PHA to terminate assistance in the following circumstances. In Texas, eviction suits must be filed in the county and precinct where the rental property is located. Subletting is the same as subleasing; the two words are interchangeable. As long as your landlord, or state law, approves, anyone can sublet. You sub-let your apartment, the sub-let tenant paid you rent, but you did not pay the landlord? The tenant may not sublease or let the unit. e.