Answer:
PT = 14
Explanation:
Given that T is the midpoint of PQ, then
TQ = PT ← substitute values
5x - 6 = 3x + 2 ( subtract 3x from both sides )
2x - 6 = 2 ( add 6 to both sides )
2x = 8 ( divide both sides by 2 )
x = 4
Hence
PT = 3x + 2 = (3 × 4) + 2 = 12 + 2 = 14