$$ \begin{aligned} -5-(7x+4) &= -6x&& \text{simplify left side} \\[1 em]-5-7x-4 &= -6x&& \\[1 em]-7x-9 &= -6x&& \text{move the $ \color{blue}{ -6x } $ to the left side and $ \color{blue}{ -9 }$ to the right} \\[1 em]-7x+6x &= 9&& \text{simplify left side} \\[1 em]-x &= 9&& \text{switch signs on both sides} \\[1 em]x &= -9&& \\[1 em] \end{aligned} $$

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