$$ \begin{aligned} 23x+\frac{21}{42} &= \frac{26}{2}&& \text{multiply ALL terms by } \color{blue}{ 42 }. \\[1 em]42\cdot23x+42\cdot\frac{21}{42} &= 42\cdot\frac{26}{2}&& \text{cancel out the denominators} \\[1 em]966x+21 &= 546&& \text{ move 21 to the right } \\[1 em]966x &= 546-21&& \\[1 em]966x &= 525&& \text{ divide both sides by $ 966 $ } \\[1 em]x &= \frac{525}{966}&& \\[1 em]x &= \frac{25}{46}&& \\[1 em] \end{aligned} $$

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