$$ \begin{aligned} k-\frac{10}{2} &= 4&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2k-2\cdot\frac{10}{2} &= 2\cdot4&& \text{cancel out the denominators} \\[1 em]2k-10 &= 8&& \text{ move -10 to the right } \\[1 em]2k &= 8+10&& \\[1 em]2k &= 18&& \text{ divide both sides by $ 2 $ } \\[1 em]k &= \frac{18}{2}&& \\[1 em]k &= 9&& \\[1 em] \end{aligned} $$

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