Answer:
27 =x
Explanation:
We can use the triangle angle bisector theorem
x+8 2x-5
-------- = ----------
10 14
Using cross products
14 (x+8) = 10 (2x-5)
Distribute
14x+112 = 20x -50
Subtract 14x from each side
14x-14x+112 = 20x-14x -50
112 = 6x - 50
Add 50 to each side
112+50 = 6x+50
162 = 6x
Divide by 6
162/6 = 6x/6
27 =x