Question
$$10f-5 = 9f+12$$
Answer
$$ f = 17 $$
Explanation
$$ \begin{aligned} 10f-5 &= 9f+12&& \text{move the $ \color{blue}{ 9f } $ to the left side and $ \color{blue}{ -5 }$ to the right} \\[1 em]10f-9f &= 12+5&& \text{simplify left and right hand side} \\[1 em]f &= 17&& \\[1 em]f &= 17&& \\[1 em] \end{aligned} $$
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