Starting at vertex V going until vertex S, we make our calculations.
VR = 14
Rx = x
therefore, xS = VR – Rx
xS = 14 – x ---> 1
Now starting at vertex V going left to vertex S, we make our next set of calculations. Assuming x is on VR but nearer R
VR = 14 - x
at UV = 15 – (14 – x)
at UV = 1 + x
at TU = 7 – (1 + x)
at TU = 6 – x
at ST = 9 – (6 – x)
at ST = 3 + x ---> 2
Equate 1 and 2:
14 – x = 3 + x
2 x = 11
x = 5.5