$$ \begin{aligned} k-\frac{10}{2} &= 0&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2k-2\cdot\frac{10}{2} &= 2\cdot0&& \text{cancel out the denominators} \\[1 em]2k-10 &= 0&& \text{ move the constants to the right } \\[1 em]2k &= 10&& \text{ divide both sides by $ 2 $ } \\[1 em]k &= \frac{10}{2}&& \\[1 em]k &= 5&& \\[1 em] \end{aligned} $$

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