Question
$$10n-4(-n+5)-2n-2-8 = 0$$
Answer
$$ n = \dfrac{5}{2} $$
Explanation
$$ \begin{aligned} 10n-4(-n+5)-2n-2-8 &= 0&& \text{simplify left side} \\[1 em]10n-(-4n+20)-2n-2-8 &= 0&& \\[1 em]10n+4n-20-2n-2-8 &= 0&& \\[1 em]12n-30 &= 0&& \text{ move the constants to the right } \\[1 em]12n &= 30&& \text{ divide both sides by $ 12 $ } \\[1 em]n &= \frac{30}{12}&& \\[1 em]n &= \frac{5}{2}&& \\[1 em] \end{aligned} $$
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