$$ \begin{aligned} 3 \cdot \frac{x}{28}-4710 &= 3 \cdot \frac{x}{43}&& \text{multiply ALL terms by } \color{blue}{ 1204 }. \\[1 em]1204\cdot3 \cdot \frac{x}{28}-1204\cdot4710 &= 1204\cdot3 \cdot \frac{x}{43}&& \text{cancel out the denominators} \\[1 em]129x-5670840 &= 84x&& \text{move the $ \color{blue}{ 84x } $ to the left side and $ \color{blue}{ -5670840 }$ to the right} \\[1 em]129x-84x &= 5670840&& \text{simplify left side} \\[1 em]45x &= 5670840&& \text{ divide both sides by $ 45 $ } \\[1 em]x &= \frac{5670840}{45}&& \\[1 em]x &= \frac{378056}{3}&& \\[1 em] \end{aligned} $$

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