We are going to solve this problem by similar triangles.
We then have the following relationship:
(5x + 2 + 16) / (16) = (12 + 24) / (12)
Rewriting we have:
(5x + 18) / (16) = (36) / (12)
(5x + 18) = 3 * 16
(5x + 18) = 48
5x = 48-18
5x = 30
x = 30/5
x = 6
Answer:
The value of x using similarity of triangles is:
x = 6