The fractional equation: 1 / (2x + 1) = 1 / (x + n) has increasing roots, then n =? If the problem, detailed problem-solving process, thank you

The fractional equation: 1 / (2x + 1) = 1 / (x + n) has increasing roots, then n =? If the problem, detailed problem-solving process, thank you

1/(2x+1)=1/(x+n)
2x+1=x+n
x=n-1
When 2x + 1 = 0, i.e. x = - 1 / 2, the equation has increasing roots
That is: - 1 / 2 = n-1
n=1/2