$$ \begin{aligned} b-3 &= 2b+4&& \text{move the $ \color{blue}{ 2b } $ to the left side and $ \color{blue}{ -3 }$ to the right} \\[1 em]b-2b &= 4+3&& \text{simplify left and right hand side} \\[1 em]-b &= 7&& \text{switch signs on both sides} \\[1 em]b &= -7&& \\[1 em] \end{aligned} $$