$$x+\frac{34}{100} = \frac{73}{100}$$

$$ \begin{aligned} x+\frac{34}{100} &= \frac{73}{100}&& \text{multiply ALL terms by } \color{blue}{ 100 }. \\[1 em]100x+100\cdot\frac{34}{100} &= 100\cdot\frac{73}{100}&& \text{cancel out the denominators} \\[1 em]100x+34 &= 73&& \text{ move 34 to the right } \\[1 em]100x &= 73-34&& \\[1 em]100x &= 39&& \text{ divide both sides by $ 100 $ } \\[1 em]x &= \frac{39}{100}&& \\[1 em] \end{aligned} $$

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