# How do you solve 2= 3x + 3( 2x - 6)?

Mar 25, 2018

$x = \frac{20}{9}$

#### Explanation:

First expand the parentheses:

$2 = 3 x + 3 \left(2 x - 6\right)$

$2 = 3 x + \left(3 \cdot 2 x\right) + \left(3 \cdot - 6\right)$

$2 = 3 x + 6 x - 18$

Now combine similar terms:

$2 = \left(3 + 6\right) x - 18$
$2 = 9 x - 18$

Add 18 to both sides of the equation:

$18 + 2 = 9 x \cancel{- 18} + \cancel{18}$

$20 = 9 x$

Now divide each side by 9:

$\frac{20}{9} = \frac{\cancel{9} x}{\cancel{9}}$

$x = \frac{20}{9}$