$$ \begin{aligned} 7x+8 &= 7x+2x-8&& \text{simplify right side} \\[1 em]7x+8 &= 9x-8&& \text{move the $ \color{blue}{ 9x } $ to the left side and $ \color{blue}{ 8 }$ to the right} \\[1 em]7x-9x &= -8-8&& \text{simplify left and right hand side} \\[1 em]-2x &= -16&& \text{ divide both sides by $ -2 $ } \\[1 em]x &= \frac{-16}{-2}&& \\[1 em]x &= 8&& \\[1 em] \end{aligned} $$

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