$$ \begin{aligned} 12-5(x+2) &= 2x+5&& \text{simplify left side} \\[1 em]12-(5x+10) &= 2x+5&& \\[1 em]12-5x-10 &= 2x+5&& \\[1 em]-5x+2 &= 2x+5&& \text{move the $ \color{blue}{ 2x } $ to the left side and $ \color{blue}{ 2 }$ to the right} \\[1 em]-5x-2x &= 5-2&& \text{simplify left and right hand side} \\[1 em]-7x &= 3&& \text{ divide both sides by $ -7 $ } \\[1 em]x &= -\frac{3}{7}&& \\[1 em] \end{aligned} $$

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