The calculated value of x on the line segments is x = 98/11
How to determine the value of x
From the question, we have the following parameters that can be used in our computation:
The figure
Also, we have that
The middle line is a line bisector
This means that
19x - 36 = 2 * (4x + 31)
Open the brackets
19x - 36 = 8x + 62
Collect the like terms
19x - 8x = 36 + 62
11x = 98
So, we have
x = 98/11
Hence, the value of x is x = 98/11