SOLUTION: In triangle ABC, AX bisects angle BAC. Find the value of x. Image of triangle: https://i.imgur.com/nIVWbbx.png

    In a triangle,  the angle bisector divides the side to which it is drawn, in two segments proportional 
    to the ratio of two other sides of a triangle.

When you use it, you get the proportion

     = ,   or

     = .


Cross multiply

    4*(4x-5) = 3*(2x),

    16x - 20 = 6x,

    16x - 6x = 20  ====>  10x = 20  ====>  x =  = 2.


Answer.   x = 2.