$$ \begin{aligned} \frac{7}{2}+\frac{43}{20}x &= 30&& \text{multiply ALL terms by } \color{blue}{ 20 }. \\[1 em]20\cdot\frac{7}{2}+20\frac{43}{20}x &= 20\cdot30&& \text{cancel out the denominators} \\[1 em]70+43x &= 600&& \text{ move 70 to the right } \\[1 em]43x &= 600-70&& \\[1 em]43x &= 530&& \text{ divide both sides by $ 43 $ } \\[1 em]x &= \frac{530}{43}&& \\[1 em] \end{aligned} $$

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