# How do you solve abs(x-8)=11?

Sep 11, 2016

$x = - 3 , 11$

#### Explanation:

We have: $| x - 8 | = 11$

$\implies x - 8 = 11$

$\implies x = 19$

or

$\implies x - 8 = - 11$

$\implies x = - 3$

Therefore, the solutions to the equation are $x = - 3$ and $x = 11$.
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