# How do you find x in the equation -2 - 6x = 19?

Mar 13, 2018

$x = - \frac{7}{2}$

#### Explanation:

$- 2 - 6 x = 19$

Add $2$ on each side of the equation to get rid of the $- 2$ on the left-hand side (whatever you do to one side of the equation, you must do to the other side)

$- 2 + 2 - 6 x = 19 + 2$

$0 - 6 x = 19 + 2$

$- 6 x = 21$

To solve for $x$, we must get $x$ by itself. So, divide both sides of the equation by $- 6$

$\frac{- 6 x}{-} 6 = \frac{21}{-} 6$

$x = - \frac{21}{6}$

Simplify as much as possible, in this case, $3$ is common in the denominator and numerator

$x = - \frac{7}{2}$