Answer:
x=-35/6
x=-25/6
Step-by-step explanation:
Step 1 :
Rearrange this Absolute Value Equation
Absolute value equality entered:
-12|x+5| = -10
To make the absolute value term positive, both sides are multiplied by (-1).
12|x+5| = 10
Step 2 :
Clear the Absolute Value Bars
Split the equation into its two cases, one for the Positive case and the other for the Negative case.
The Absolute Value term is 12|x+5|. For the Negative case we'll use -12(x+5). For the Positive case we'll use 12(x+5)
Step 3 :
Solve the Negative Case
-12(x+5) = 10
Multiply
-12x-60 = 10
Rearrange and Add up
-12x = 70
Divide both sides by 12
-x = (35/6)
Multiply both sides by (-1)
x = -(35/6)
Step 4 :
Solve the Positive Case
12(x+5) = 10
Multiply
12x+60 = 10
Rearrange and Add up
12x = -50
Divide both sides by 12
x = -(25/6)