Does having tenant sign agreement to pay or move out by certain date hold up legally?

[Andrew Clark]

I have a couple dozen rooming houses, most are rented by the week. 2-5 tenants per house. My goal is to make my system as efficient as possible and keep this beast growing.

Question: Does having a tenant sign a very simple document saying,

"Bob Tenant agrees to pay $220 by 11/28/2013 (this date is generally only 2 to 5 days into the future because they are weekly renters) by 5pm OR will move out by 5pm on the same day.
Signed - Bob Tenant"

Does their agreement to move out hold up to Tenant Landlord laws if I show up at 5pm on the 28th and they don't want to move out? Keep in mind, I don't nor have I ever strong armed tenants into moving out. I always communicate a move out date, provide a truck and the option of storing their things for 30 days if need be. I have moved out over 80 people in the last 2 years, not one eviction.

Thanks,

Andrew