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

$\left|3x-12\right|=3$

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:

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 $x = 3$ .

$x=5$ , $x=3$

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