$$ \begin{aligned} 2(x+8) &= 3-4x&& \text{simplify left and right hand side} \\[1 em]2x+16 &= -4x+3&& \text{move the $ \color{blue}{ -4x } $ to the left side and $ \color{blue}{ 16 }$ to the right} \\[1 em]2x+4x &= 3-16&& \text{simplify left and right hand side} \\[1 em]6x &= -13&& \text{ divide both sides by $ 6 $ } \\[1 em]x &= -\frac{13}{6}&& \\[1 em] \end{aligned} $$
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