Given,
(8x + 4), (6x – 2) and (2x + 7) are in A.P.
So, the common difference between the consecutive terms should be the same.
(6x – 2) – (8x + 4) = (2x + 7) – (6x – 2)
⇒ 6x – 2 – 8x – 4 = 2x + 7 – 6x + 2
⇒ -2x – 6 = -4x + 9
⇒ -2x + 4x = 9 + 6
⇒ 2x = 15
Therefore, x = 15/2
