$$216 = 6^4x+5$$
Answer
$$ x = \frac{211}{1296} $$
Explanation
$$ \begin{aligned} 216 &= 6^4x+5&& \text{simplify right side} \\[1 em]216 &= 1296x+5&& \text{ swap the left and right side of the equation } \\[1 em]1296x+5 &= 216&& \text{ move 5 to the right } \\[1 em]1296x &= 216-5&& \\[1 em]1296x &= 211&& \text{ divide both sides by $ 1296 $ } \\[1 em]x &= \frac{211}{1296}&& \\[1 em] \end{aligned} $$
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