Question
$$12-2u = 9u+45$$
Answer
$$ u = -3 $$
Explanation
$$ \begin{aligned} 12-2u &= 9u+45&& \text{move the $ \color{blue}{ 9u } $ to the left side and $ \color{blue}{ 12 }$ to the right} \\[1 em]-2u-9u &= 45-12&& \text{simplify left and right hand side} \\[1 em]-11u &= 33&& \text{ divide both sides by $ -11 $ } \\[1 em]u &= -\frac{33}{11}&& \\[1 em]u &= -3&& \\[1 em] \end{aligned} $$
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