$$ \begin{aligned} 4x-3 &= 6x-7&& \text{move the $ \color{blue}{ 6x } $ to the left side and $ \color{blue}{ -3 }$ to the right} \\[1 em]4x-6x &= -7+3&& \text{simplify left and right hand side} \\[1 em]-2x &= -4&& \text{ divide both sides by $ -2 $ } \\[1 em]x &= \frac{-4}{-2}&& \\[1 em]x &= 2&& \\[1 em] \end{aligned} $$
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