# How do you solve  5(2t - 1) + 3 = 3(3t + 2) ?

Mar 24, 2018

$\implies t = 8$

#### Explanation:

$5 \left(2 t - 1\right) + 3 = 3 \left(3 t + 2\right)$

We distribute the $5$ into $2 t - 1$ and the $3$ into $3 t + 2$:

$\implies 10 t - 5 + 3 = 9 t + 6$

$\implies 10 t - 2 = 9 t + 6$

Subtracting $9 t$ from both sides.

$\implies t - 2 = 6$

Adding $2$ to both sides.

$\implies t = 8$