Step-by-step explanation:
Answer:
x = 4
Step-by-step explanation:
In triangle ABC, DE || AC
Therefore by Basic Proportionality Theorem (BPT):
[tex] \frac{x + 2}{x} = \frac{3}{2} \\ \\ 2(x + 2) = 3x \\ \\ 2x + 4 = 3x \\ \\ 4 = 3x - 2x \\ \\ 4 = x\\ \\ \huge\purple {\boxed {x = 4}} \\ [/tex]
