Triangle ABC is similar to triangle XYZ. Side AB measures 2, side BC measures x + 5, side CA measures x + 7, side XY measures 4 and side ZX measures 4x - 2. Find the value of x.

Triangle ABC:

AB=2

BC=x+5

CA=x+7

Triangle XYZ:

XY=4

YZ=?

ZX=4x-2

x=?

XY/AB=ZX/CA

4/2 = (4x-2) / (x+7)

Simpliying:

2 = (4x-2) / (x+7)

Solving for x: Cross multiplication:

2 (x+7) = (4x-2)

2x+14=4x-2

2x+14-2x+2=4x-2-2x+2

16=2x

16/2=2x/2

8=x

x=8

Answer: The value of x is 8