Lines AG and GC are the same.
Angle D is the same on both sides.
This means that line AD and DC are the same.
Set these equal to each other and solve.
2x -3 = x + 2
Add 3 to both sides:
2x = x + 5
Subtract x from both sides:
X = 5
Now you have a value for x, solve for the length.
AD = 2(5)-3 = 10-3 = 7
AD = 7