Answer:
x = 4
Step-by-step explanation:
Given a line parallel to a side of the triangle and intersecting the other 2 sides then it divides those sides proportionally, that is
[tex]\frac{10-x}{x}[/tex] = [tex]\frac{3}{2}[/tex] ( cross- multiply )
3x = 2(10 - x)
3x = 20 - 2x ( add 2x to both sides )
5x = 20 ( divide both sides by 5 )
x = 4
