\(\left(\frac{1}{9}\right)^{2017}.9^{2017}-96^2:24^2=\left(3x-2\right)^3+12\)
\(\left(\frac{1}{9}.9\right)^{2017}-\left(96:24\right)^2=\left(3x-2\right)^3+12\)
\(1^{2017}-4^2=\left(3x-2\right)^3+12\)
\(-15=\left(3x-2\right)^3+12\)
\(\Rightarrow\left(3x-2\right)^3=-27\rightarrow3x-2=3\)
\(\Rightarrow x=\frac{5}{3}\)