$$ \begin{aligned} -2(x+2)-x-3 &= 8&& \text{simplify left side} \\[1 em]-(2x+4)-x-3 &= 8&& \\[1 em]-2x-4-x-3 &= 8&& \\[1 em]-3x-7 &= 8&& \text{ move -7 to the right } \\[1 em]-3x &= 8+7&& \\[1 em]-3x &= 15&& \text{ divide both sides by $ -3 $ } \\[1 em]x &= -\frac{15}{3}&& \\[1 em]x &= -5&& \\[1 em] \end{aligned} $$
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