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Solve the absolute value equation, making sure to show all steps of your work.

​- 3 |2x - 4| = 6

User Ratojakuf
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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.

User Raj Gohel
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