In(x-1)-In(x+1)=-1

Solution for In(x-1)-In(x+1)=-1 equation:

Simplifying
In(x + -1) + -1In(x + 1) = -1

Reorder the terms:
nI(-1 + x) + -1In(x + 1) = -1
(-1 * nI + x * nI) + -1In(x + 1) = -1
(-1nI + nxI) + -1In(x + 1) = -1

Reorder the terms:
-1nI + nxI + -1nI(1 + x) = -1
-1nI + nxI + (1 * -1nI + x * -1nI) = -1
-1nI + nxI + (-1nI + -1nxI) = -1

Reorder the terms:
-1nI + -1nI + nxI + -1nxI = -1

Combine like terms: -1nI + -1nI = -2nI
-2nI + nxI + -1nxI = -1

Combine like terms: nxI + -1nxI = 0
-2nI + 0 = -1
-2nI = -1

Solving
-2nI = -1

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Divide each side by '-2I'.
n = 0.5I-1

Simplifying
n = 0.5I-1