$$ \begin{aligned} 2 &= \frac{3}{4}x-\frac{21}{2}&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4\cdot2 &= 4 \cdot \frac{3}{4}x-4\cdot\frac{21}{2}&& \text{cancel out the denominators} \\[1 em]8 &= 3x-42&& \text{ swap the left and right side of the equation } \\[1 em]3x-42 &= 8&& \text{ move -42 to the right } \\[1 em]3x &= 8+42&& \\[1 em]3x &= 50&& \text{ divide both sides by $ 3 $ } \\[1 em]x &= \frac{50}{3}&& \\[1 em] \end{aligned} $$

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