Solve the Absolute Value Equation: 2|x - 4| = 10

To solve the equation $2|x - 4| = 10$, divide both sides by 2. This gives $|x - 4| = 5$.

The absolute value equation $|x - 4| = 5$ implies that $x - 4 = 5$ or $x - 4 = -5$. Solving these equations:

1. $x - 4 = 5$ gives $x = 9$.

2. $x - 4 = -5$ gives $x = -1$.

Thus, the solutions are $x = 9$ and $x = -1$.