Step-by-step explanation:
Consider a=(x+2) & c=(4x+5).
Let a,b & c be in A.P where b is the arithmetic mean of a and c.
Clearly,b=(a+c)/2=(x+2+4x+5)/2=(5x+7)/2.
Equating b=(5x+7)/2 & b=(3x+2)[as given],we get,
(3x+2)=(5x+7)/2
(6x+4)=(5x+7)
◆x=3.