$$ \begin{aligned} 7s-5 &= 8(s+3)&& \text{simplify right side} \\[1 em]7s-5 &= 8s+24&& \text{move the $ \color{blue}{ 8s } $ to the left side and $ \color{blue}{ -5 }$ to the right} \\[1 em]7s-8s &= 24+5&& \text{simplify left and right hand side} \\[1 em]-s &= 29&& \text{switch signs on both sides} \\[1 em]s &= -29&& \\[1 em] \end{aligned} $$

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