Since T is the midpoint of PQ, this means that PT and TQ must be equal to each other. Make them equal to each other in an equation.
PT = TQ
4x + 2 = 7x - 7
- Subtract 2 from both sides.
4x = 7x - 9
- Subtract 7x from both sides.
-3x = -9
x = 3
- Now substitute 3 for x into PT.
PT = 4(3) + 2
PT = 14