$$ \begin{aligned} \frac{\frac{43}{25}}{2}-x &= -\frac{1407}{50}&& \text{multiply ALL terms by } \color{blue}{ 50 }. \\[1 em]50 \cdot \frac{\frac{43}{25}}{2}-50x &= -50\cdot\frac{1407}{50}&& \text{cancel out the denominators} \\[1 em]43-50x &= -1407&& \text{ move 43 to the right } \\[1 em]-50x &= -1407-43&& \\[1 em]-50x &= -1450&& \text{ divide both sides by $ -50 $ } \\[1 em]x &= \frac{-1450}{-50}&& \\[1 em]x &= 29&& \\[1 em] \end{aligned} $$

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