$$ \begin{aligned} 64^2x+3 &= \frac{1}{8}&& \text{multiply ALL terms by } \color{blue}{ 8 }. \\[1 em]864^2x+8\cdot3 &= 8\cdot\frac{1}{8}&& \text{cancel out the denominators} \\[1 em]32768x+24 &= 1&& \text{ move 24 to the right } \\[1 em]32768x &= 1-24&& \\[1 em]32768x &= -23&& \text{ divide both sides by $ 32768 $ } \\[1 em]x &= -\frac{23}{32768}&& \\[1 em] \end{aligned} $$

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