Question
$$5k+5 = 10k+9$$
Answer
$$ k = -\dfrac{4}{5} $$
Explanation
$$ \begin{aligned} 5k+5 &= 10k+9&& \text{move the $ \color{blue}{ 10k } $ to the left side and $ \color{blue}{ 5 }$ to the right} \\[1 em]5k-10k &= 9-5&& \text{simplify left and right hand side} \\[1 em]-5k &= 4&& \text{ divide both sides by $ -5 $ } \\[1 em]k &= -\frac{4}{5}&& \\[1 em] \end{aligned} $$
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