Sum of two absolute values equal to a whole number The following is the equation:

$|x+1|+|x+2|=3$

How can I solve this problem?

Do I have to reformat it to $|x+1|=3-|x-2|$?

I would like a simple answer that by no means uses set theory. The answer must include a step by step explanation
You have three cases to look at:

• Case 1: $x&lt;-1$
• Case 2: $-1\le x&lt;2$
• Case 3: $x\ge 2$
Hint: if $x+1 &gt; 0$ , $x+1 &lt; 0$, $x+1 = 0$  and $x-2 &gt; 0$, $x - 2 &lt; 0$, $x-2 = 0$, etc...There are $9$ possibilities all together.