$$ \begin{aligned} 3(2x+7) &= 13+2(4x+2)&& \text{simplify left and right hand side} \\[1 em]6x+21 &= 13+8x+4&& \\[1 em]6x+21 &= 8x+17&& \text{move the $ \color{blue}{ 8x } $ to the left side and $ \color{blue}{ 21 }$ to the right} \\[1 em]6x-8x &= 17-21&& \text{simplify left and right hand side} \\[1 em]-2x &= -4&& \text{ divide both sides by $ -2 $ } \\[1 em]x &= \frac{-4}{-2}&& \\[1 em]x &= 2&& \\[1 em] \end{aligned} $$

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