Solve the Absolute Value Equation: Finding X in |3x - 12| = 3

To solve the equation $|3x - 12| = 3$, follow these steps:

• Step 1: Recognize that the absolute value equation $|A| = B$ means $A = B$ or $A = -B$.
• Step 2: Set up the two equations:
• $3x - 12 = 3$
• $3x - 12 = -3$

Now let's solve each equation:

For the first equation $3x - 12 = 3$:
Add 12 to both sides to get:
$3x = 15$
Divide both sides by 3:
$x = 5$

For the second equation $3x - 12 = -3$:
Add 12 to both sides to get:
$3x = 9$
Divide both sides by 3:
$x = 3$

Therefore, the solutions to the equation $|3x - 12| = 3$ are $x = 5$ and $x = 3$.

These solutions correspond to choice 1: $x = 5$, $x = 3$.

Therefore, the solution to the problem is $x = 5$ and $x = 3$.