$$\frac{2}{v-4} = \frac{3}{4}$$

$$ \begin{aligned} \frac{2}{v-4} &= \frac{3}{4}&& \text{multiply ALL terms by } \color{blue}{ (v-4)\cdot4 }. \\[1 em](v-4)\cdot4\cdot\frac{2}{v-4} &= (v-4)\cdot4\cdot\frac{3}{4}&& \text{cancel out the denominators} \\[1 em]8 &= 3v-12&& \text{ swap the left and right side of the equation } \\[1 em]3v-12 &= 8&& \text{ move -12 to the right } \\[1 em]3v &= 8+12&& \\[1 em]3v &= 20&& \text{ divide both sides by $ 3 $ } \\[1 em]v &= \frac{20}{3}&& \\[1 em] \end{aligned} $$

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