Start with the given equation: \(2\left|x\right| = 10\).
Isolate the absolute value expression by dividing both sides of the equation by 2: \(\left|x\right| = \frac{10}{2}\).
Simplify the right side to get \(\left|x\right| = 5\).
Recall that the absolute value equation \(\left|x\right| = 5\) means that \(x\) can be either 5 or -5 because absolute value measures distance from zero.