$$ \begin{aligned} x-2x+7x+3 &= 2x+5x+3&& \text{simplify left and right hand side} \\[1 em]6x+3 &= 7x+3&& \text{move the $ \color{blue}{ 7x } $ to the left side and $ \color{blue}{ 3 }$ to the right} \\[1 em]6x-7x &= 3-3&& \text{simplify left and right hand side} \\[1 em]-x &= 0&& \text{ divide both sides by $ -1 $ } \\[1 em]x &= \frac{0}{-1}&& \\[1 em]x &= 0&& \\[1 em] \end{aligned} $$

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