$$ \begin{aligned} 45 &= \frac{5}{3}x&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3\cdot45 &= 3 \cdot \frac{5}{3}x&& \text{cancel out the denominators} \\[1 em]135 &= 5x&& \text{ swap the left and right side of the equation } \\[1 em]5x &= 135&& \text{ divide both sides by $ 5 $ } \\[1 em]x &= \frac{135}{5}&& \\[1 em]x &= 27&& \\[1 em] \end{aligned} $$
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