Answer :

[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

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Rewritten by : Barada