$$ \begin{aligned} \frac{x}{3} &= -11-(-5)&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3 \cdot \frac{x}{3} &= -3\cdot11-3\cdot(-5)&& \text{cancel out the denominators} \\[1 em]x &= -33-(-15)&& \text{simplify right side} \\[1 em]x &= -33+15&& \\[1 em]x &= -18&& \\[1 em]x &= -18&& \\[1 em] \end{aligned} $$
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