Solve for x x x in the equation 2∣x+1∣=8 2|x + 1| = 8 2∣x+1∣=8.
Given the equation 2∣x+1∣=8 2|x + 1| = 8 2∣x+1∣=8, divide both sides by 2: ∣x+1∣=4|x + 1| = 4∣x+1∣=4.
Consider the two cases for the absolute value:
Thus, xxx is 3 or −5 3 \text{ or } -5 3 or −5.
x=3 or x=−5 x = 3 \text{ or } x = -5 x=3 or x=−5