Answer:
x = 4
Step-by-step explanation:
Since DE is parallel to AC and it intersects the 2 sides, then
It divides AB and BC proportionally, that is
[tex]\frac{x+2}{x}[/tex] = [tex]\frac{3}{2}[/tex] ( cross- multiply )
3x = 2(x + 2)\
3x = 2x + 4 ( subtract 2x from both sides )
x = 4
