HELP WITH GEOMARTY !!!!! 40 POINTS!!!

Answer:
x = 2.4 or 12/5
Step-by-step explanation:
11x - 1 = 6x + 11
5x = 12
x = 12/5 or 2.4
x= 2.4.
Analysis: If T is the midpoint between SU, then ST and TU must have the same length. Hence, we can equal expressions of ST and TU to find the value of x.
[tex]11x-1=6x+11[/tex]
[tex]11x-1=6x+11\\ \\11x-6x=11+1\\ \\5x=12\\\\ x=\frac{12}{5} \\ \\x=2.4[/tex]
x= 2.4.