$$\frac{2x-1}{2} = \frac{7}{2}$$

$$ \begin{aligned} \frac{2x-1}{2} &= \frac{7}{2}&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2 \cdot \frac{2x-1}{2} &= 2\cdot\frac{7}{2}&& \text{cancel out the denominators} \\[1 em]2x-1 &= 7&& \text{ move -1 to the right } \\[1 em]2x &= 7+1&& \\[1 em]2x &= 8&& \text{ divide both sides by $ 2 $ } \\[1 em]x &= \frac{8}{2}&& \\[1 em]x &= 4&& \\[1 em] \end{aligned} $$

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