Answer:
P = - 3
Step-by-step explanation:
For the equation to have no solutions the the coefficient of x on both sides must be the same.
5 - 3x = Px + 7 ← P = - 3 , then
5 - 3x = - 3x + 7 ( subtract 5 from both sides )
- 3x = - 3x + 2 ( add 3x to both sides )
0 = 2 ← not possible
Meaning the equation has no solutions