$$\frac{5}{2}x-7 = 23$$

$$ \begin{aligned} \frac{5}{2}x-7 &= 23&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2 \cdot \frac{5}{2}x-2\cdot7 &= 2\cdot23&& \text{cancel out the denominators} \\[1 em]5x-14 &= 46&& \text{ move -14 to the right } \\[1 em]5x &= 46+14&& \\[1 em]5x &= 60&& \text{ divide both sides by $ 5 $ } \\[1 em]x &= \frac{60}{5}&& \\[1 em]x &= 12&& \\[1 em] \end{aligned} $$

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