$$ \begin{aligned} 5-4(x-3) &= -15&& \text{simplify left side} \\[1 em]5-(4x-12) &= -15&& \\[1 em]5-4x+12 &= -15&& \\[1 em]-4x+17 &= -15&& \text{ move 17 to the right } \\[1 em]-4x &= -15-17&& \\[1 em]-4x &= -32&& \text{ divide both sides by $ -4 $ } \\[1 em]x &= \frac{-32}{-4}&& \\[1 em]x &= 8&& \\[1 em] \end{aligned} $$
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