Exercise 52 Page 34

We want fill in an absolute value equation of the following form.

$\left|x-\boxed{}\right|=\boxed{}$

First, let's take a look at the number line.

The given number line shows that $b$ is at an equal distance $d$ from both points $a$ and $c.$ Therefore, $b$ is a midpoint. This means that $a$ and $c$ are solutions to the following equation. Now we can substitute values for the midpoint and distance.

$\left|x-b\right|=d$