Stability of Multiple Moons

How stable (or possible) would binary moons be, (Luna-sized or possibly slightly smaller) rotating around an earth-sized planet?

Edit: Thanks for the questions! And thanks for the welcome! My apologies for not being more detailed. I want them both to be the same size approximately, look about the size of our moon, (so if they're smaller, they'd be closer) rotate the earth-sized planet at about the same rate our moon does, with a 28 day cycle from full to full, and they would orbit each other around a central point, but not so that they would eclipse each other; just so that at one time, one would rise before the other, at another time the other would rise first.

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Stability of Multiple Moons

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