It depends on the game
Ghosts is a bit cpu intensive
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Notice the scaling as you go up and the difference between the stock i5 and the overclocked one
BF4 singleplayer, GPU dependent
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Your core 2 duo should be similar to that Athlon x3, and as you can see it still takes a bit of a hit
Note, that's not the same hardware as yours, so the framerate might vary
Multiplayer would be a totally different story
Overall, I can tell you that your cpu is going to hold you back but you should be able to get playable framerates in those games, not sure about the settings and exact framerate though