Answer:
x=11
Step-by-step explanation:
If F is the midpoint for EG, then the length of EF and FG are same
F is a midpoint for EG , so EF = FG4
\(EF = 6x - 4, FG = 5x + 7\)
LEts replace EF and FG
\(EF = FG\)
\(6x-4= 5x+7\), solve for x
Subtract 5x on both sides
\(6x-5x-4= 5x-5x+7\)
\(x-4=7\)
Add 4 on both sides
x=11
The value of x= 11
