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
[tex]EF = 6x - 4, FG = 5x + 7[/tex]
LEts replace EF and FG
[tex]EF = FG[/tex]
[tex]6x-4= 5x+7[/tex], solve for x
Subtract 5x on both sides
[tex]6x-5x-4= 5x-5x+7[/tex]
[tex]x-4=7[/tex]
Add 4 on both sides
x=11
The value of x= 11
