Answer:
x = 7 and x = -1
Explanation:
The equation "|3x-9| = 12" can be written into two different equations:
3x-9 = 12 & 3x-9 = -12
This is because the net value inside of the absolute value will always be made positive even if it is negative. Therefore, the net value inside of the absolute value signs can also be equal to the negative of the solution.
Solve 3x-9 = 12:
Add 9 to both sides:
3x-9+9 = 12+9
3x=21
Divide both sides by 3:
3x÷3=21÷3
x=7
Solve 3x-9 = -12
Add 9 to both sides:
3x-9+9=-12+9
3x=-3
Divide both sides by 3:
3x÷3=-3÷3
x=-1
Your answer: x = 7 and x = -1