Answer:- The value of x must be 6
Given:- ΔFGH and ΔKJH are congruent by SSS postulate such that GH=JH
and Point H is the midpoint of side FK.
⇒ FH=HK
As ΔFGH and ΔKJH
⇒ GF=JK [congruence parts of two congruent triangles are equal]
⇒3x-2=2x+4
⇒3x-2x=4+2 [Add 2 and subtract 2x on the sides]
⇒x=6
Thus the value of x=6.