Video Explanation

Text Explanation

The rule for inequalities is that if we have x=|k| the solution can be x=k or x=–k 

Since we have 2x = |15 – 4x|, the solution can be:

1) 2x = 15 – 4x

2) 2x = - (15 – 4x)

Now, solve for both equations:

1) 

2x = 15 – 4x

6x = 15

x = 15/6

   = 5/2

   = 2.5

However, the prompt tells us that  x ≠ 2.5, therefore this is not the solution.

2)

2x = –15 + 4x

–2x = –15

x = –15/–2

   = 15/2

   = 7.5

This is the solution, E) x = 7.5