Question

3|2 + x| - 3 = 9

Explanation:

Step1: Isolate the absolute value term

Add 3 to both sides:
$3|2+x| = 9 + 3$
$3|2+x| = 12$

Step2: Simplify the equation

Divide both sides by 3:
$|2+x| = \frac{12}{3}$
$|2+x| = 4$

Step3: Solve for two cases

Case 1: $2+x = 4$
$x = 4 - 2$
$x = 2$

Case 2: $2+x = -4$
$x = -4 - 2$
$x = -6$

Answer:

$x = 2$ or $x = -6$