# How do you solve ((2t-1)/(3t+4)) = 2?

Jun 19, 2016

color(green)(t = -9/4

#### Explanation:

$\frac{2 t - 1}{3 t + 4} = 2$

$\left(2 t - 1\right) = \textcolor{b l u e}{2} \cdot \left(3 t + 4\right)$

$\textcolor{b l u e}{2}$ is multiplied with both terms within the second bracket.

$\left(2 t - 1\right) = \textcolor{b l u e}{2} \cdot \left(3 t\right) + \textcolor{b l u e}{2} \cdot \left(4\right)$

$2 t - 1 = 6 t + 8$

$2 t - 6 t = 8 + 1$

$- 4 t = 9$

$- t = \frac{9}{- 4}$

color(green)(t = -9/4