$$ \begin{aligned} m+4 &= \frac{2}{3}m-1&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3m+3\cdot4 &= 3 \cdot \frac{2}{3}m-3\cdot1&& \text{cancel out the denominators} \\[1 em]3m+12 &= 2m-3&& \text{move the $ \color{blue}{ 2m } $ to the left side and $ \color{blue}{ 12 }$ to the right} \\[1 em]3m-2m &= -3-12&& \text{simplify left and right hand side} \\[1 em]m &= -15&& \\[1 em]m &= -15&& \\[1 em] \end{aligned} $$

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