# How do you solve 4( a - 1) = 7a + 2?

Apr 21, 2018

$a = - 2$

#### Explanation:

To get to those follow these steps:

1. Expand the brackets, so $4 \left(a - 1\right)$ becomes $4 a - 4$
2. Rearrange so you have the variables on the same side $\to - 4 - 2 = 7 a - 4 a$ (change signs when moving across the equals sign)
3. Simplify $\to - 6 = 3 a$
4. Divide both sides by $3$ so $a$ is by itself $\to - \frac{6}{3} = a$
5. $- \frac{6}{3} = - 2$, therefore, $a$ must equal $- 2$
Apr 21, 2018

a = -2

#### Explanation:

$4 \left(a - 1\right) = 7 a + 2$

On the left hand side, multiply each term inside the brackets by 4

$4 a - 4 = 7 a + 2$

Subtract 2 from both sides

$4 a - 6 = 7 a$

Subtract 4a from both sides

$- 6 = 7 a - 4 a$
$- 6 = 3 a$

Divide both sides by 3

$- 2 = a$
$a = - 2$