# Question #0d390

Sep 28, 2017

$x = - 8$

#### Explanation:

First we will distribute parentheses/brackets: (we're focusing on the left side)

$- \left(9 - 3 x\right) = - \left(9\right) - \left(- 3 x\right)$ which is equal to $- 9 + 3 x$.

Therefore, the left side would be $4 x - 9 + 3 x$

Group like terms:
$4 x + 3 x - 9$
$4 x + 3 x = 7 x$

Equation:
$7 x - 9$

Whole equation:
$7 x - 9 = 8 x - 1$
Add $9$ to both sides:
$7 x - 9 \textcolor{b l u e}{+} \textcolor{b l u e}{9} = 8 x - 1 \textcolor{b l u e}{+} \textcolor{b l u e}{9}$
Simplify:
$7 x = 8 x + 8$
Subtract $8 x$ from both sides:
$7 x \textcolor{b l u e}{-} \textcolor{b l u e}{8} \textcolor{b l u e}{x} = 8 x + 8 \textcolor{b l u e}{-} \textcolor{b l u e}{8} \textcolor{b l u e}{x}$
Simplify:
$- x = 8$
Divide both sides by $- 1$

$\frac{- x}{- 1} = \frac{8}{- 1}$

$x = - 8$