# How do you solve -9- 2( 7x + 4) = - 1?

Mar 8, 2018

$x = - \frac{16}{14}$

#### Explanation:

Let's begin by distributing $- 2$ to $\left(7 x + 4\right) :$

$- 9 \left(- 2 \cdot 7 x\right) +$$\left(- 2 \cdot 4\right) = - 1$

$- 9 - 14 x - 8 = - 1$

Combine like terms on the LHS:

$- 14 x - 17 = - 1$

Add $17$ to both sides:

$- 14 x - 17 + 17 = - 1 + 17$

$- 14 x + 0 = 16$

$- 14 x = 16$

Divide both sides by $- 14$:

$\frac{- 14}{-} 14 x = \frac{16}{-} 14$

$x = - \frac{16}{14}$

Mar 8, 2018

x=-8/7
You have to isolate x

#### Explanation:

$- 9 - 2 \left(7 x + 4\right) = - 1$

$- 2 \left(7 x + 4\right) = - 1 + 9$

$- 2 \left(7 x + 4\right) = 8$

$\frac{- 2 \left(7 x + 4\right)}{-} 2 = \frac{8}{-} 2$

$7 x + 4 = - 4$

$7 x = - 4 - 4$

$x = - \left(\frac{8}{7}\right)$