Ah - there are several versions. EXACTLY which version do you have? They have one which supports only DDR2, one which supports only DDR3 and another version (the N68C-S UCC) which has slots for BOTH DDR2 and DDR3... BUT here is your problem:
The Athlon X2 5000+ has an integrated memory controller which ONLY supports DDR2. NOT DDR3. It doesn't matter if the motherboard supports DDR3, the CPU cannot 'talk' to the memory. Later AM2+ and AM3 CPUs had a memory controller which supported both DDR2 and DDR3, your CPU is an AM2 (no plus) which means it doesn't have DDR3 support.
Your choices are either - fit it with DDR2 RAM, or change to an AM2+/AM3 CPU. My suggestion is the new CPU, you can pick them up cheap as beer.