$$ \begin{aligned} 6x+2-7x &= 5x+2&& \text{simplify left side} \\[1 em]-x+2 &= 5x+2&& \text{move the $ \color{blue}{ 5x } $ to the left side and $ \color{blue}{ 2 }$ to the right} \\[1 em]-x-5x &= 2-2&& \text{simplify left and right hand side} \\[1 em]-6x &= 0&& \text{ divide both sides by $ -6 $ } \\[1 em]x &= \frac{0}{-6}&& \\[1 em]x &= 0&& \\[1 em] \end{aligned} $$

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