You cannot debunk the Big Bang and it wasn't 10 billion years ago. It was 13.8 billion years ago and it wasn't "nothing" that exploded because nothing created nothing. The Big Bang Theory is supported by overwhelming Scientific EVIDENCE. Here are several key pieces of evidence that support the Big Bang Theory.
1) The fact that the Universe is expanding, proven with something called Red Shift. (Light travels to Earth from other galaxies. As the light from that galaxy gets closer to Earth, the distance between Earth and the galaxy increases, which causes the wavelength of that light to get longer. Longer wavelengths of visible light are red, and that is why it is called the Red Shift. This Red Shift of light gives Scientists information on the speed and direction that a star is moving. This in turn tells scientists that stars are not only moving away from us, but they are also moving away from each other).
2) Cosmic Microwave background Radiation. Cosmic Microwave background Radiation is Electromagnetic Radiation left over from an early stage of the Universe. The early Universe was a very hot place and as it expanded, the gas within it cooled. Thus the Universe should be filled with radiation that is literally the remnant heat left over from the Big Bang, called the "Cosmic Microwave Background."
3) Big Bang Nucleosynthesis. Light elements (namely Deuterium, Helium, and Lithium) were produced in the first few minutes of the Big Bang, while elements heavier than Helium have their origins in the interiors of Stars which formed much later in the history of the Universe.
This link might be of interest ~http://www.esa.int/For_Media/Press_Releases/Planck_reveals_an_almost_perfect_Universe