Question

|x| + 5 = 12

Explanation:

Step1: Isolate absolute value term

Subtract 5 from both sides.
$$|x| + 5 - 5 = 12 - 5$$
$$|x| = 7$$

Step2: Solve for x

Absolute value equals 7 means x is ±7.
$$x = 7 \text{ or } x = -7$$

Answer:

$x = 7$ or $x = -7$