$$ \begin{aligned} -x-3 &= 4x+27&& \text{move the $ \color{blue}{ 4x } $ to the left side and $ \color{blue}{ -3 }$ to the right} \\[1 em]-x-4x &= 27+3&& \text{simplify left and right hand side} \\[1 em]-5x &= 30&& \text{ divide both sides by $ -5 $ } \\[1 em]x &= -\frac{30}{5}&& \\[1 em]x &= -6&& \\[1 em] \end{aligned} $$
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