$$ \begin{aligned} 2 \cdot \frac{x}{59} &= 219+5x&& \text{multiply ALL terms by } \color{blue}{ 59 }. \\[1 em]59\cdot2 \cdot \frac{x}{59} &= 59\cdot219+59\cdot5x&& \text{cancel out the denominators} \\[1 em]2x &= 12921+295x&& \text{move the $ \color{blue}{ 295x } $ to the left side} \\[1 em]2x-295x &= 12921&& \text{simplify left side} \\[1 em]-293x &= 12921&& \text{ divide both sides by $ -293 $ } \\[1 em]x &= -\frac{12921}{293}&& \\[1 em] \end{aligned} $$
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