$$14v+5-5v = 4(v+5)$$

$$ \begin{aligned} 14v+5-5v &= 4(v+5)&& \text{simplify left and right hand side} \\[1 em]9v+5 &= 4v+20&& \text{move the $ \color{blue}{ 4v } $ to the left side and $ \color{blue}{ 5 }$ to the right} \\[1 em]9v-4v &= 20-5&& \text{simplify left and right hand side} \\[1 em]5v &= 15&& \text{ divide both sides by $ 5 $ } \\[1 em]v &= \frac{15}{5}&& \\[1 em]v &= 3&& \\[1 em] \end{aligned} $$

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