$$ \begin{aligned} -4(x+12) &= -5-5\cdot(1+5x)&& \text{simplify left and right hand side} \\[1 em]-(4x+48) &= -5-(5+25x)&& \\[1 em]-4x-48 &= -5-5-25x&& \\[1 em]-4x-48 &= -25x-10&& \text{move the $ \color{blue}{ -25x } $ to the left side and $ \color{blue}{ -48 }$ to the right} \\[1 em]-4x+25x &= -10+48&& \text{simplify left and right hand side} \\[1 em]21x &= 38&& \text{ divide both sides by $ 21 $ } \\[1 em]x &= \frac{38}{21}&& \\[1 em] \end{aligned} $$

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