Respuesta :
Answer:
x = -2, x = -8
Step-by-step explanation:
| x+5| =3
When we solve absolute values, we need to separate it into two equations, one positive and one negative
x+5 =3 x+5 = -3
Subtract 5 from each side
x+5-5 = 3-5 x+5-5 = -3-5
x = -2 x = -8
Since the equation has absolute value, that means that answer can be either positive or negative.
Split the original equation into two equations.
x + 5 = 3 and x + 5 = -3
Now, solve for x in both equations.
Solution #1:
x + 5 = 3
~Subtract 5 to both sides
x + 5 - 5 = 3 - 5
~Simplify
x = -2
Solution #2:
x + 5 = -3
~Subtract 5 to both sides
x + 5 - 5 = -3 - 5
~Simplify
x = -8
Best of Luck!