What is the value of x?

x = 5

Step-by-step explanation:

Set up proportion and cross multiply to solve:

9/2x-1 = 15/3x

x = 5

Step-by-step explanation:

An angle bisector divides the base into ratios obtained by the sides of the triangle that are not divided. So

9/(2x - 1) = 15/3x                  Divide 3 into 15

9/(2x - 1) = 5/x                     Cross multiply

9x = 5(2x - 1)                        Remove the  brackets

9x = 10x - 5                          Switch sides.

10x - 5 = 9x                          Subtract 9x from both sides

10x - 9x - 5 = 0                    Combine

x - 5 = 0                               Add 5 to both sides.

x = 5