# How do you solve ( x - 2) - ( 3x + 4) = 2?

Apr 3, 2018

$x = - 4$

#### Explanation:

$\left(x - 2\right) - \left(3 x + 4\right) = 2$

Remove the brackets:

$x - 2 - 3 x - 4 = 2$

$- 2 x - 6 = 2$

$2 x = - 8$

$x = - 4$

Apr 3, 2018

$x = - 4$

#### Explanation:

$\left(x - 2\right) - \left(3 x + 4\right) = 2$
$\left(x - 2\right) - 3 x - 4 = 2$
$- 2 x - 6 = 2$
$- 2 x = 8$
Dividing by -2 on both sides,
$x = - 4$

Apr 3, 2018

$x = - 4$

#### Explanation:

Firstly, we open the bracket. Therefore

$x - 2 - 3 x - 4 = 2$

Now, taking the like terms together

$x - 3 x - 2 - 4 - 2 = 0$

Solving the equation

$- 2 x - 8 = 0$

$- 2 x = 8$

$x = \frac{8}{-} 2$

$x = - 4$