# How do you solve -5( t - 5) + 8t = 5t - 2?

Mar 16, 2018

$t = \frac{27}{2} \mathmr{and} 13.5$

#### Explanation:

$- 5 \left(t - 5\right) + 8 t = 5 t - 2$

$- 5 t + 25 + 8 t = 5 t - 2$

$- 5 t + 8 t - 5 t = - 2 - 25$

$- 2 t = - 27$

Divide both side by $2$

$- 2 \frac{t}{2} = - \frac{27}{2}$

$t = \frac{27}{2} \mathmr{and} t = 13.5$