Question
Solve the equation
x1=0,x2=6
Evaluate
−4∣−2x+6∣=−24
Calculate the absolute value
−4∣2x−6∣=−24
Change the sign
4∣2x−6∣=24
Divide both sides
44∣2x−6∣=424
Divide the numbers
∣2x−6∣=424
Divide the numbers
More Steps

Evaluate
424
Reduce the numbers
16
Calculate
6
∣2x−6∣=6
Separate the equation into 2 possible cases
2x−6=62x−6=−6
Solve the equation for x
More Steps

Evaluate
2x−6=6
Move the constant to the right-hand side and change its sign
2x=6+6
Add the numbers
2x=12
Divide both sides
22x=212
Divide the numbers
x=212
Divide the numbers
More Steps

Evaluate
212
Reduce the numbers
16
Calculate
6
x=6
x=62x−6=−6
Solve the equation for x
More Steps

Evaluate
2x−6=−6
Move the constant to the right-hand side and change its sign
2x=−6+6
Add the numbers
2x=0
Rewrite the expression
x=0
x=6x=0
Solution
x1=0,x2=6
Show Solution
