Let's solve this problem step-by-step.
Explanation:
If F is the midpoint of EG, then EF and EG must be equivalent to each other.
EF = FG
As well as this:
EF = 6x - 4
FG = 5x + 7
THEREFORE:
6x - 4 = 5x + 7
6x - 5x = 7 + 4
x = 11
FINAL ANSWER:
Hence, the answer is:
x = 11
Hope this helps! :)
Have a lovely day! <3