$$ \begin{aligned} x+\frac{8}{29} &= \frac{2}{29}&& \text{multiply ALL terms by } \color{blue}{ 29 }. \\[1 em]29x+29\cdot\frac{8}{29} &= 29\cdot\frac{2}{29}&& \text{cancel out the denominators} \\[1 em]29x+8 &= 2&& \text{ move 8 to the right } \\[1 em]29x &= 2-8&& \\[1 em]29x &= -6&& \text{ divide both sides by $ 29 $ } \\[1 em]x &= -\frac{6}{29}&& \\[1 em] \end{aligned} $$

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