x = 1
LA = 2
Step-by-step explanation:
Since P is in between L and A, we would be assuming P divides line LA into two equal halves
PL = 2x - 1
LA = 5x - 3
From the diagram:
LA = PL + AP
PL = AP
LA = 2PL
5x - 3 = 2(2x - 1)
5x - 3 = 4x - 2
5x - 4x = -2 + 3
x = 1
LA = 5(1) - 3 = 5 - 3
LA = 2