Eviction Case. An eviction case is a lawsuit brought to recover possession of real property under Chapter 24 of the Texas Property Code, often by a landlord against a tenant. A claim for rent may be joined with an eviction case if the amount of rent due and unpaid is not more than $10,000, excluding statutory interest and court costs but including attorney fees, if any. Eviction cases are governed by Rules 500-507 and 510 of Part V of the Rules of Civil Procedure. To the extent of any conflict between Rule 510 and the rest of Part V, Rule 510 applies.