# How do you solve 14-3(2x+3)=2?

Sep 17, 2016

$x = \frac{1}{2}$

#### Explanation:

$14 - 3 \left(2 x + 3\right) = 2$

subtract 14 from both sides
$\implies - 3 \left(2 x + 3\right) = - 12$

multiply both sides with $- 1$
$\implies 3 \left(2 x + 3\right) = 12$

divide both sides by 3
$\implies 2 x + 3 = 4$

subtract 3 from both sides
$\implies 2 x = 1$

divide both sides by 2
$\implies x = \frac{1}{2}$ is the solution