# How do you solve 2|x - 4| + 7 = 25?

Sep 26, 2016

$x = 13 \mathmr{and} x = - 5$

#### Explanation:

$2 | x - 4 | + 7 = 25$

$2 | x - 4 | = 25 - 7$

$| x - 4 | = \frac{18}{2}$

$| x - 4 | = 9$

now we break the modulus by adding plus and minus sign on the another side

$x - 4 = 9 \mathmr{and} x - 4 = - 9$

$x = 13 \mathmr{and} x = - 5$