$$ \begin{aligned} 8x+12 &= 6x-4x&& \text{simplify right side} \\[1 em]8x+12 &= 2x&& \text{move the $ \color{blue}{ 2x } $ to the left side and $ \color{blue}{ 12 }$ to the right} \\[1 em]8x-2x &= -12&& \text{simplify left side} \\[1 em]6x &= -12&& \text{ divide both sides by $ 6 $ } \\[1 em]x &= -\frac{12}{6}&& \\[1 em]x &= -2&& \\[1 em] \end{aligned} $$

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