The given equation is:
$-2 = |6 - x|$

Step 1: Understand Absolute Value

The absolute value of any expression is always non-negative (i.e., $|A| \geq 0$ for all real numbers $A$). However, the left side of the equation is negative ($-2$), which is impossible for an absolute value expression.

Step 2: Conclusion

Since there is no real number that satisfies this equation, the equation has no solution.

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Related Questions:

1. What are the basic properties of absolute value?
2. How do you solve equations involving absolute value?
3. Can an absolute value equation have no solution?
4. How do you solve an equation like $|x - 3| = 5$?
5. How do absolute value equations relate to piecewise functions?

Tip: If an absolute value equation results in a negative number on one side, it always has no solution.