# How do you solve  4x - 7 (6x+1) - 2 = 5 - 2 (x+3)?

Apr 16, 2016

$x = - \frac{2}{9}$

#### Explanation:

4x−7(6x+1)−2=5−2(x+3)

$4 x + \left(- 7\right) \cdot \left(6 x\right) + \left(- 7\right) \cdot \left(1\right) - 2 = 5 + \left(- 2\right) \cdot \left(x\right) + \left(- 2\right) \cdot \left(3\right)$

$4 x - 42 x - 7 - 2 = 5 - 2 x - 6$

$- 38 x - 9 = - 2 x - 1$

$- 38 x + 2 x = - 1 + 9$

$- 36 x = 8$

$x = \frac{8}{- 36}$

$x = - \frac{2}{9}$