How do you solve (90-x)-x=45?

Jan 19, 2016

$x = \frac{45}{2}$

Explanation:

First rewrite the equation without brackets.

90 - x - x = 45

( collect 'like terms' ) : 90 - 2x = 45

(subtract 90 from both sides ) : 90 - 90 - 2x = 45 - 90

and so - 2x = - 45

(Finally divide both sides by - 2 )

$\frac{- 2 x}{-} 2 = \frac{- 45}{-} 2 \Rightarrow x = \frac{45}{2}$