Did you buy it from a buyer in another state? I've owned several RVs here in Tx and never had one inspected. It's not a motor vehicle, so no inspection required. Motorhome require inspection. And this is from the state regarding inspection on trailers weighing more
Items of Inspection for a Trailers or Mobile Homes
05.06 Inspect All Trailers, Semitrailers, Pole Trailers, or Mobile Homes Exceeding 4,500 Pounds Actual Gross Weight or Registered Weight For: (Listed in suggested order of inspection) Refer to Federal Motor Carrier Safety Regulations, if required.
* Check for evidence of Financial Responsibility on towing vehicle
1. Brakes (system) (If gross weight exceeds 4,500 pounds)
2. Tires
3. Wheel Assembly
4. Safety Guards or Flaps (if four tires or more on rearmost axle) Pole trailers exempt.
5. Tail Lamps (2)
6. Stop Lamps (2)
7. License Plate Lamp (1)
8. Rear Red Reflectors (2)
9. Turn Signal Lamps
10. Clearance Lamps
11. Side Marker Lamps
12. Side Reflectors
13. Side Marker Lamps and Reflectors (30 feet or more in overall length)
(Refer to Reference Section as per lighting diagrams and as applicable to the particular trailer being inspected.)
14. Serial or Vehicle Identification Number
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