$$ \begin{aligned} \frac{5}{4}x &= -\frac{11}{6}&& \text{multiply ALL terms by } \color{blue}{ 12 }. \\[1 em]12 \cdot \frac{5}{4}x &= -12\cdot\frac{11}{6}&& \text{cancel out the denominators} \\[1 em]15x &= -22&& \text{ divide both sides by $ 15 $ } \\[1 em]x &= -\frac{22}{15}&& \\[1 em] \end{aligned} $$
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