The value is x= -5/4
The least common denominator is the smallest number of all the common multiples of the denominators when 2 or more fractions are given.
Given:
1/x = 1/5+ 5/4x
1/x = 4x + 25 / 20x
20= 4x +25
4x= -5
x= -5/4
Learn more about this concept here:
https://brainly.com/question/2605216
#SPJ1