$$ \begin{aligned} -15-\frac{\frac{x}{49}}{16} &= -\frac{11765}{784}&& \text{multiply ALL terms by } \color{blue}{ 784 }. \\[1 em]-784\cdot15-784 \cdot \frac{\frac{x}{49}}{16} &= -784\cdot\frac{11765}{784}&& \text{cancel out the denominators} \\[1 em]-11760-x &= -11765&& \text{ move -11760 to the right } \\[1 em]-x &= -11765+11760&& \\[1 em]-x &= -5&& \text{switch signs on both sides} \\[1 em]x &= 5&& \\[1 em] \end{aligned} $$

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