Answer:
x = 5
Step-by-step explanation:
The line segment divides the sides in proportion, that is
[tex]\frac{14}{10}[/tex] = [tex]\frac{2x-3}{x}[/tex] ( cross- multiply )
10(2x - 3) = 14x ← distribute left side
20x - 30 = 14x ( subtract 14x from both sides )
6x - 30 = 0 ( add 30 to both sides )
6x = 30 ( divide both sides by 6 )
x = 5
