# How do you solve 6( 6x + 9) - 3= 9x + 6?

Jul 20, 2017

Distribute across the parenthesis and solve for $x$

$x = - \frac{5}{3}$

#### Explanation:

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

$36 x + 54 - 3 = 9 x + 6 \text{ }$ so now combine like terms

$36 x + 51 = 9 x + 6 \text{ }$ subtract $9 x \mathmr{and} 51$ from both sides

$36 x - 9 x + 51 - 51 = 9 x - 9 x + 6 - 51 \text{ }$ gives

$27 x = - 45 \text{ }$ dividing both sides by 27 gives

$\frac{27 x}{27} = \frac{- 45}{27}$ gives

$x = - \frac{5}{3}$

$x = - 1 \frac{2}{3}$

Jul 21, 2017

$6 \left(6 x + 9\right) - 3 = 9 x + 6$
$36 x + 54 - 3 = 9 x + 6$
$36 x - 9 x = - 54 + 3 + 6$
$27 x = - 54 + 9$
$27 x = - 45$
$x = \frac{- 45}{27}$
Both are divisible by 9
$x = \frac{- 5}{3}$