$$ \begin{aligned} 7(4x+3) &= 5(x+6)+6&& \text{simplify left and right hand side} \\[1 em]28x+21 &= 5x+30+6&& \\[1 em]28x+21 &= 5x+36&& \text{move the $ \color{blue}{ 5x } $ to the left side and $ \color{blue}{ 21 }$ to the right} \\[1 em]28x-5x &= 36-21&& \text{simplify left and right hand side} \\[1 em]23x &= 15&& \text{ divide both sides by $ 23 $ } \\[1 em]x &= \frac{15}{23}&& \\[1 em] \end{aligned} $$

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