Feb 27, 2016

$x = - \frac{1}{5}$

#### Explanation:

First, combine like terms. Any number with the same variable attached to it is a like term.

$4 x + 6 x + 2 = 0$
$10 x + 2 = 0$

Next, add -2 to both sides to isolate the $x$ variable.

$10 x + 2 + \left(- 2\right) = 0 + \left(- 2\right)$
$10 x + 0 = - 2$
$10 x = - 2$

Divide both sides of the equation by 10 to solve for $x$.

$\frac{10 x}{10} = - \frac{2}{10}$
$x = - \frac{2}{10}$

Finally, simplify the fraction to lowest terms:
$x = - \frac{2}{10} = - \frac{1}{5}$