$$ \begin{aligned} 30b+53 &= 18b-83&& \text{move the $ \color{blue}{ 18b } $ to the left side and $ \color{blue}{ 53 }$ to the right} \\[1 em]30b-18b &= -83-53&& \text{simplify left and right hand side} \\[1 em]12b &= -136&& \text{ divide both sides by $ 12 $ } \\[1 em]b &= -\frac{136}{12}&& \\[1 em]b &= -\frac{34}{3}&& \\[1 em] \end{aligned} $$

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