Answer:
x = 3
Step-by-step explanation:
In triangle ABC, DE || AC
Therefore by Basic Proportionality Theorem (BPT):
[tex] \frac{x + 5}{2x} = \frac{4}{3} \\ \\ 3(x + 5) = 4 \times 2x \\ \\ 3x + 15 = 8x \\ \\ 15 = 8x - 3x \\ \\ 15 = 5x \\ \\ x = \frac{15}{5} \\ \\ x = 3[/tex]
