Answer :

The value of x is 10 and the length of SU is 50.

Here SU is the line and T is the mid-point of the line

So from this we have

SU = ST + TU

ST = TU

SU = 2ST = 2TU

ST = 3x - 5 and TU = 2x + 5

As ST = TU

3x - 5 = 2x + 5

x = 10

SU = 2ST

     = 2( 3x - 5)

     = 2( 3 × 10 - 5)

     = 2( 30 - 5)

     = 2× 25

     = 50

Therefore the value of x is 10 and the length of SU is 50.

To know more about the line and the mid-point refer to the link given below:

https://brainly.com/question/896396

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