$$ \begin{aligned} 3(b+10) &= 5(b-2)&& \text{simplify left and right hand side} \\[1 em]3b+30 &= 5b-10&& \text{move the $ \color{blue}{ 5b } $ to the left side and $ \color{blue}{ 30 }$ to the right} \\[1 em]3b-5b &= -10-30&& \text{simplify left and right hand side} \\[1 em]-2b &= -40&& \text{ divide both sides by $ -2 $ } \\[1 em]b &= \frac{-40}{-2}&& \\[1 em]b &= 20&& \\[1 em] \end{aligned} $$

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