# How do you solve |2a + 10| = | 3a - 8|?

Sep 24, 2016

$a = 18$ or $a = - \frac{2}{5}$

#### Explanation:

If $| x | = | y |$ then either $x = y$ or x=-y#

Hence as $| 2 a + 10 | = | 3 a - 8 |$

either $2 a + 10 = 3 a - 8$ i.e. $10 + 8 = 3 a - 2 a$ i.e $a = 18$

or $2 a + 10 = - \left(3 a - 8\right)$ i.e. $2 a + 10 = - 3 a + 8$

i.e. $2 a + 3 a = + 8 - 10$ i.e. $5 a = - 2$ i.e $a = - \frac{2}{5}$