Which represents the solution to the above absolute value equation? 2|x+2|-1=5

Answer:C. x=1 or x=-5Step-by-step explanation:1. First, we have to get the absolute value alone.2|x+2|-1=52. Add 1 to both sides.2|x+2|-1 +1 = 5 +1. The -1 and +1 will cancel each other out. You will get 2|x+2|=6.3. Divide 2 by both sides.[tex]\frac{2|x+2|}{2}[/tex] = [tex]\frac{6}{2}[/tex]The division of 2 and the multiplication of 2 on the side of the absolute value will also cancel each other out.You will get |x+2|=3.4. Next, we will split this absolute value equation into two equations because we don't know if the variable of x that's inside of the absolute value is negative or not.x+2=3 or x+2=-3.5. Subtract 2 from all sides.x+2 -2 =3 or x+2 -2 =-3You will get x=1 or x=-5.x=1 or x=-5 is your final answer.