$$ \begin{aligned} x+(-8) &= 3x+6&& \text{move the $ \color{blue}{ 3x } $ to the left side and $ \color{blue}{ -8 }$ to the right} \\[1 em]x-3x &= 6+8&& \text{simplify left and right hand side} \\[1 em]-2x &= 14&& \text{ divide both sides by $ -2 $ } \\[1 em]x &= -\frac{14}{2}&& \\[1 em]x &= -7&& \\[1 em] \end{aligned} $$
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