To solve this equation, we need to consider two cases based on the absolute value:
Case 1: 9-6x = 3Adding 6x to both sides: 9 = 3 + 6xSubtracting 3 from both sides: 6 = 6xDividing by 6: x = 1
Case 2: 9-6x = -3Adding 6x to both sides: 9 = -3 + 6xAdding 3 to both sides: 12 = 6xDividing by 6: x = 2
Therefore, the solutions to the equation are x = 1 and x = 2.
To solve this equation, we need to consider two cases based on the absolute value:
Case 1: 9-6x = 3
Adding 6x to both sides: 9 = 3 + 6x
Subtracting 3 from both sides: 6 = 6x
Dividing by 6: x = 1
Case 2: 9-6x = -3
Adding 6x to both sides: 9 = -3 + 6x
Adding 3 to both sides: 12 = 6x
Dividing by 6: x = 2
Therefore, the solutions to the equation are x = 1 and x = 2.