Answer:
6 units
Step-by-step explanation:
The segment addition postulate states that if we are given two points on a line segment, E and G, a third point F lies on the line segment EG if and only if the distances between the points meet the requirements of the equation
EF + FG = EG (*)
In your case,
EF = 2x-2 units,
FG = 5x+1 units,
EG = 5x+7 units.
Substitute it into the equality (*)
Now, the length EF is equal to