Use the figure on the right to answer the question. T is the midpoint of line segment QP.
A. 12
B. 10
C. 8
D. 6

[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]
As per given in question, T is mid - point of QP ; so the measures QT and TP are equal.
that is :
[tex] \qquad \sf \dashrightarrow \: 2x + 1 = 3x - 5[/tex]
[tex] \qquad \sf \dashrightarrow \: 3x - 2x = 1 + 5[/tex]
[tex] \qquad \sf \dashrightarrow \: x = 6[/tex]
Value of x is 6, so correct choice is D