$$2x-7 = 5x+3-x$$

$$ \begin{aligned} 2x-7 &= 5x+3-x&& \text{simplify right side} \\[1 em]2x-7 &= 4x+3&& \text{move the $ \color{blue}{ 4x } $ to the left side and $ \color{blue}{ -7 }$ to the right} \\[1 em]2x-4x &= 3+7&& \text{simplify left and right hand side} \\[1 em]-2x &= 10&& \text{ divide both sides by $ -2 $ } \\[1 em]x &= -\frac{10}{2}&& \\[1 em]x &= -5&& \\[1 em] \end{aligned} $$

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