Question
$$10z-5 = 3z+9$$
Answer
$$ z = 2 $$
Explanation
$$ \begin{aligned} 10z-5 &= 3z+9&& \text{move the $ \color{blue}{ 3z } $ to the left side and $ \color{blue}{ -5 }$ to the right} \\[1 em]10z-3z &= 9+5&& \text{simplify left and right hand side} \\[1 em]7z &= 14&& \text{ divide both sides by $ 7 $ } \\[1 em]z &= \frac{14}{7}&& \\[1 em]z &= 2&& \\[1 em] \end{aligned} $$
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