Answer:
x = 4
Step-by-step explanation:
In [tex] \triangle BAC, \: DE || AC[/tex]
Hence, by basic proportionality theorem:
[tex] \frac{x + 2}{x} = \frac{3}{2} \\ \\ \therefore \: 2(x + 2) = 3x \\ \therefore \:2x + 4 = 3x \\ \therefore \:4 = 3x - 2x \\ \therefore \:4 = x \\ \huge \red { \boxed{\therefore \:x = 4}}[/tex]
