$$ \begin{aligned} 5(x+2) &= 3(x+7)&& \text{simplify left and right hand side} \\[1 em]5x+10 &= 3x+21&& \text{move the $ \color{blue}{ 3x } $ to the left side and $ \color{blue}{ 10 }$ to the right} \\[1 em]5x-3x &= 21-10&& \text{simplify left and right hand side} \\[1 em]2x &= 11&& \text{ divide both sides by $ 2 $ } \\[1 em]x &= \frac{11}{2}&& \\[1 em] \end{aligned} $$

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