A rigid soundproofing panel is supported from a vibration-prone wall through a support system which includes an elastomeric plate isolator of selected spring rate to tune the suspension system so that minimal wall vibrations are imparted to the soundproofing panel, and a second elastomeric member in parallel with the first in the form of an acoustic edge seal extending between the wall and the soundproofing panel throughout the full periphery of the soundproofing panel so as to prevent acoustic flanking therebetween and being of substantially reduced spring rate as compared to that of the elastomeric plate isolator so as not to interfere with system tuning.
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