$$\frac{u+3}{10} = \frac{7}{8}$$

$$ \begin{aligned} \frac{u+3}{10} &= \frac{7}{8}&& \text{multiply ALL terms by } \color{blue}{ 40 }. \\[1 em]40 \cdot \frac{u+3}{10} &= 40\cdot\frac{7}{8}&& \text{cancel out the denominators} \\[1 em]4u+12 &= 35&& \text{ move 12 to the right } \\[1 em]4u &= 35-12&& \\[1 em]4u &= 23&& \text{ divide both sides by $ 4 $ } \\[1 em]u &= \frac{23}{4}&& \\[1 em] \end{aligned} $$

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