Solve the Absolute Value Equation: |2x - 4| = 8

To solve $\left|2x - 4\right|=8$, we split it into two cases based on the nature of absolute values:

1) $2x - 4=8$:

Add $4$ to both sides: $2x=12$.

Divide both sides by $2$ to get $x=6$.

2) $2x - 4=-8$:

Add $4$ to both sides: $2x=-4$.

Divide both sides by $2$ to get $x=-2$.

So, the solutions are $x=-2$ and $x=6$.