# How do you solve | x + 3 | = 5?

Mar 9, 2018

${x}_{1} = - 8$ and ${x}_{2} = 2$

#### Explanation:

$| x + 3 | = 5$

${\left(x + 3\right)}^{2} = {5}^{2}$

${x}^{2} + 6 x + 9 = 25$

${x}^{2} + 6 x - 16 = 0$

$\left(x + 8\right) \cdot \left(x - 2\right) = 0$

Hence ${x}_{1} = - 8$ and ${x}_{2} = 2$