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