Find the exact solution of the equation

10sin^{-1}x-4π=8sin^{-1}x-5π

10sin^{-1}x-8sin^{-1}x= -5π+4π = - π

2 sin ^{-1} x = - π

sin ^{-1} x = - π/2

x = sin (-π/2) = -sin (π/2)= -1

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