$$ \begin{aligned} 8x+3 &= -4(2x+7)&& \text{simplify right side} \\[1 em]8x+3 &= -(8x+28)&& \\[1 em]8x+3 &= -8x-28&& \text{move the $ \color{blue}{ -8x } $ to the left side and $ \color{blue}{ 3 }$ to the right} \\[1 em]8x+8x &= -28-3&& \text{simplify left and right hand side} \\[1 em]16x &= -31&& \text{ divide both sides by $ 16 $ } \\[1 em]x &= -\frac{31}{16}&& \\[1 em] \end{aligned} $$

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