Answer:
x = 15 is the answer.
Explanation:
If a point F lies on line segment EG, then EG = EF + FG
Given : EF = 5x + 15
FG = 53 and EG = 143
To find : Value of x.
Since EG = EF + FG
143 = 5x + 15 + 53
143 - 53 = 5x + 15
90 = 5x + 15
5x = 90 - 15
5x = 75
x = 15
Value of x will be equal to 15.