# How do you solve 3(2x-1)=9(x+3)?

Jun 18, 2018

x = -10

#### Explanation:

Step 1, distribute the $3$ and $9$ into the parentheses:
$3 \left(2 x - 1\right) \to 6 x - 3$

$9 \left(x + 3\right) \to 9 x + 27$

Step 2, combine like terms:
$\quad 6 x - 3 = 9 x + 27$
$- 6 x \quad \quad \quad - 6 x$

$- 3 = 3 x + 27$
$- 27 \quad \quad \quad \quad - 27$

$- 30 = 3 x$

Step 3, isolate the variable:
$- 30 = 3 x$

$- \frac{30}{3} = \frac{3 x}{3}$

$x = - 10$