Question

Solve for x: 2|2x − 2| + 4 = 20.

x = 5, x = −3
x = 5, x = −5
x = 3, x = −3
x = −5, x = 3

Answer 1

2|2x − 2| + 4 = 20.
2|2x − 2| = 20.- 4
2|2x − 2| = 16
|2x − 2| =8

That means:
1st: 2x-2 = 8 and 2nd: 2x - 2 = -8
1st: 2x=10 and x = 5

2nd 2x-2=-8, 2x = -6 and x = -3

So x = 5 and x = -3 (1st answer)

Answer 2

Subtract 4 from both sides of the equation.
2|2x−2|=16Divide both sides of the equation by 2.
|2x−2|=8Set 2x-2 equal to positive and negative 8.
2x−2=8,2x−2=−8Solve both equations for x.
x=5,−3