27^8x-3=(1/81)^8x-4 x=?

convert your bases to base 3

27^8x-3=(1/81)^8x-4
(3^3)^(8x-3) = (3^-4)^(8x-4)
3^(24x-9) = 3^(-32x+16)
then 24x-9 = -32x+16
x = 25/56