Thanks for responding. Motherboard is a Gigabyte 785GMT-USB3.
I don't see anywhere in your mobo manual that confirms that it does. But, you do have tha AM3 cpu socket and ddr3 memory with win7 support, which tells me that there is a good chance it does.
I recommend that you contact Gigabyte support for confirmation.
My board is the 890gpa-ud3h with win7 and I do have trim support.