# How do you solve  - 5| x + 1| = -10?

Jun 19, 2017

You may start by dividing both sides by $- 5$

#### Explanation:

$\to | x + 1 | = 2$

In fact this represents two equations, depending on the value of $x$ being smaller or greater than $- 1$

$x \ge - 1 : x + 1 = 2 \to x = 1$

$x \le - 1 : - \left(x + 1\right) = 2 \to - x - 1 = 2 \to x = - 3$
graph{|x+1| [-10, 10, -5, 5]}
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