$$ \begin{aligned} 5x+3 &= 7x-1&& \text{move the $ \color{blue}{ 7x } $ to the left side and $ \color{blue}{ 3 }$ to the right} \\[1 em]5x-7x &= -1-3&& \text{simplify left and right hand side} \\[1 em]-2x &= -4&& \text{ divide both sides by $ -2 $ } \\[1 em]x &= \frac{-4}{-2}&& \\[1 em]x &= 2&& \\[1 em] \end{aligned} $$
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