She should have added 2 to both sides of the equation instead of subtracting 2.
2x -2 = 14
Add 2 to both sides:
2x = 16
Divide both sides by 2:
x = 8
Answer:
Option D is correct.

Step-by-step explanation:
In triangle ADE and triangle ABC
From the figure:
[Angle] [Given]
[Angle]
AA(Angle-Angle) similarity criterion states that in two triangles if two pairs of corresponding angles are equal, then these triangle Similar.
By AA similarity:
⇒
You can group first two conjunctions and second two:

.
In first brackets you have common

and in second brackets common is 5:

.