Doug71 and the others are correct about methods to reduce the sound transmission through the walls. I design and build facilities where we must meet strict sound abatement requirements for the rooms, and mass is your friend when building acoustic walls. We start with rock wool insulation that weighs at least six pounds per cubic foot and pack it as tightly as we can between the wall studs. We use two layers of 20mm gypsum wall board on each side of the studs and completely seal the first layer before we put the second layer on. I haven't had a wall fail the sound transmission test yet.