Final answer:
To solve the absolute value equation -3|2x - 4| = 6, isolate the absolute value expression and split it into two cases: one where the expression inside the absolute value is positive and another where it is negative. Solving these cases gives us x = -5 and x = 7/2, respectively.
Step-by-step explanation:
To solve the absolute value equation -3|2x - 4| = 6, we need to isolate the absolute value expression and then split it into two separate cases: one where the expression inside the absolute value is positive, and another where it is negative.
If 2x - 4 is positive, we can rewrite the equation as -3(2x - 4) = 6. Solving this equation gives us x = -5.
If 2x - 4 is negative, we can rewrite the equation as -3(-2x + 4) = 6. Solving this equation gives us x = 7/2.