Answer:
x = 4
Step-by-step explanation:
DE is parallel to AC and intersects the other 2 sides. It divides those sides proportionally, that is
[tex]\frac{BD}{DA}[/tex] = [tex]\frac{BE}{EC}[/tex], thus
[tex]\frac{10-x}{x}[/tex] = [tex]\frac{3}{2}[/tex] ( cross- multiply )
2(10 - x) = 3x ← distribute left side
20 - 2x = 3x ( subtract 3x from both sides )
20 - 5x = 0 ( subtract 20 from both sides )
- 5x = - 20 ( divide both sides by - 5 )
x = 4
