# How to slove equations with brackets make x the subject 9(x+a)=b?

Mar 1, 2018

$x = \frac{b}{9} - a$

#### Explanation:

Multiply the two terms inside the bracket by 9

$9 x + 9 a = b$

Transpose 9a to right side, with change of sign

$9 x = b - 9 a$

Divide both sides by 9( the multiple before x)

$x = \frac{b - 9 a}{9}$ which is same as $\frac{b}{9} - a$

Simpler way:

Divide both sides of original by 9
$9 \left(x + a\right) = b$ becomes

$\left(x + a\right) = \frac{b}{9}$, get rid of the bracket

$x + a = \frac{b}{9}$,

Transpose a to right side, with change of sign

So $\frac{b}{9} - a$