Answer:
x = 5
Step-by-step explanation:
[tex]\frac{x}{2x - 3} = \frac{10}{14}[/tex] --> Triangle Proportionality Theorem
10(2x - 3) = 14(x) --> Cross Multiplying
20x - 30 = 14x --> Distributing 10 and 14 to the parentheses
20x -30 - 14x + 30 = 14x - 14x + 30 --> Subtracting 14x and adding 30 on both sides
6x = 30 --> Simplifying
6x/6 = 30/6 --> Dividing 6 on both sides
x = 5 --> Simplifying
Hope this helped!
By the way, I'm not so sure you understand the concept of "Triangle Proportionality Theorem" since you asked a similar one before that. So I'll post an image that I found on the internet that explains it. :D
