# How do you solve |2x - 3| = |x + 2|?

May 24, 2016

$x = - 5 \text{ and } x = + 5$

#### Explanation:

Write as: $2 x - 3 = x + 2$

$\implies 2 x - x = 2 + 3$

#=> x=5

So $| x | = | 5 | \text{ or just } | x | = 5$

Thus the solution is $x = - 5 \text{ and } x = + 5$