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

Wolfyy

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!