Question
Solve the equation
x1=−8,x2=−2,x3=2,x4=8
Evaluate
∣∣x∣−5∣=3
Separate the equation into 2 possible cases
∣x∣−5=3∣x∣−5=−3
Solve the equation for x
More Steps

Evaluate
∣x∣−5=3
Move the constant to the right-hand side and change its sign
∣x∣=3+5
Add the numbers
∣x∣=8
Separate the equation into 2 possible cases
x=8x=−8
x=8x=−8∣x∣−5=−3
Solve the equation for x
More Steps

Evaluate
∣x∣−5=−3
Move the constant to the right-hand side and change its sign
∣x∣=−3+5
Add the numbers
∣x∣=2
Separate the equation into 2 possible cases
x=2x=−2
x=8x=−8x=2x=−2
Solution
x1=−8,x2=−2,x3=2,x4=8
Show Solution
