Solve the following equation for $x$ to five$-$figure accuracy. $($Do not round

intermediate calculations. Round your answer to $2$ decimal places.$)$

$4x({1\mathrm{.}08}^5)+\frac{x}{{1\mathrm{.}08}^3}+x=\frac{\text{\$}3,000}{{1\mathrm{.}08}^2}$

$x=,$$