# How do you solve 18=3(3x-6)?

Jul 31, 2016

$x = 4$

#### Explanation:

There are two methods:

Method 1. Divide both sides by 3.

$\frac{18}{3} = \frac{3 \left(3 x - 6\right)}{3} \text{ } \Rightarrow {\cancel{18}}^{6} / \cancel{3} = \frac{\cancel{3} \left(3 x - 6\right)}{\cancel{3}}$

$6 = 3 x - 6$

$12 = 3 x$

$x = 4$

Method 2: Multiply 3 into the bracket:

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

$18 = 9 x - 18$

$36 = 9 x$

$x = 4$

The solutions are of course the same, but one method involves slightly larger numbers.