Answer:
x = 4
Step-by-step explanation:
The line DE is parallel to AC and divides the sides proportionally, that is
[tex]\frac{BD}{AD}[/tex] = [tex]\frac{BE}{CE}[/tex] , substitute values
[tex]\frac{x+2}{x}[/tex] = [tex]\frac{3}{2}[/tex] ( cross- multiply )
3x = 2(x + 2) = 2x + 4 ( subtract 2x from both sides )
x = 4
