$$ \begin{aligned} \frac{\frac{x}{28}}{3}-4710 &= \frac{\frac{x}{43}}{3}&& \text{multiply ALL terms by } \color{blue}{ 3612 }. \\[1 em]3612 \cdot \frac{\frac{x}{28}}{3}-3612\cdot4710 &= 3612 \cdot \frac{\frac{x}{43}}{3}&& \text{cancel out the denominators} \\[1 em]43x-17012520 &= 28x&& \text{move the $ \color{blue}{ 28x } $ to the left side and $ \color{blue}{ -17012520 }$ to the right} \\[1 em]43x-28x &= 17012520&& \text{simplify left side} \\[1 em]15x &= 17012520&& \text{ divide both sides by $ 15 $ } \\[1 em]x &= \frac{17012520}{15}&& \\[1 em]x &= 1134168&& \\[1 em] \end{aligned} $$

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