[tex]12\text{ = 12+}\frac{v-8}{2}[/tex]
To determine the value of v that makes the equation true, we have to solve the equation and obtain the value of v
[tex]\begin{gathered} 12\text{ = 12+}\frac{v-8}{2} \\ \text{subtract 12 from both sides} \\ 0=\frac{v-8}{2} \\ \text{cross multiply} \\ 0=\text{ v-8} \\ \text{add 8 to both sides} \\ 8=v \\ or\text{ } \\ v=8 \end{gathered}[/tex]
The value of v that makes the equation true is v=8
