The values of x in the absolute value equation is determined as (-11, 7). (Option B).
How to calculate the value of x in the given equation?
The value of x in the given absolute value equation is calculated by applying the following formula as follows.
The given parameters include;
2|x + 2| + 5 = 23
The equation is simplified as;
2|x + 2| = 23 - 5
2 |x + 2| = 18
|x + 2| = 18/2
|x + 2| = 9
The first equation becomes;
x + 2 = 9 ----- (1)
The second equation becomes;
- (x + 2) = 9 ------- (2)
From equation (1);
x = 9 - 2
x = 7
- (x + 2) = 9
- x - 2 = 9
- x = 9 + 2
- x = 11
x = - 11
The solution of the equation = (-11, 7).