Final answer:
The equation |2x - 6| = -4 has no solution because an absolute value cannot equal a negative number.
Step-by-step explanation:
The student has asked about the values of x that satisfy the equation |2x - 6| = -4. When working with absolute values, the expression within the absolute value brackets can either be positive or negative, but the result after taking the absolute value is always non-negative. Therefore, it is impossible for an absolute value to equal a negative number. In this case, the equation |2x - 6| = -4 has no solution because the absolute value cannot be negative.