# How do you solve 2(3 - a) - (-2)(a - 3) = - (3a - 2)?

May 18, 2016

$a = \frac{2}{3}$

#### Explanation:

The first step is to multiply out to get rid of the brackets, remembering that multiplying a negative by a negative gives a positive.
$2 \left(3 - a\right) - \left(- 2\right) \left(a - 3\right) = - \left(3 a - 2\right)$

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

$= 6 - 2 a + 2 a - 6 = - 3 a + 2$

Move all the items to the left hand side, remembering to change the sign.

$= 6 - 2 a + 2 a - 6 + 3 a - 2 = 0$

Group the items.

$- 2 a + 2 a + 3 a + 6 - 6 - 2 = 0$

$\therefore 3 a - 2 = 0$

$3 a = 2$

$a = \frac{2}{3}$