Question

2|4x - 6| - 8 = 12

x = -5 & x = 2
x = 5 & x = -2
x = 4 & x = -1
x = -4 & x = 1

Answer 1

First, let's isolate the absolute value:

2|4x - 6| - 8 = 12

2|4x - 6| = 20

|4x - 6| = 10

Now let's open up the absolute values:

4x - 6 = 10

4x - 6 = -10

_________

4x = 16

4x = -4

__________

x = 4

x = -1

Option C.