ln(x-1)-ln(x+5)=ln(x-5)-ln(x+9)

Solution for ln(x-1)-ln(x+5)=ln(x-5)-ln(x+9) equation:

Simplifying
ln(x + -1) + -1ln(x + 5) = ln(x + -5) + -1ln(x + 9)

Reorder the terms:
ln(-1 + x) + -1ln(x + 5) = ln(x + -5) + -1ln(x + 9)
(-1 * ln + x * ln) + -1ln(x + 5) = ln(x + -5) + -1ln(x + 9)
(-1ln + lnx) + -1ln(x + 5) = ln(x + -5) + -1ln(x + 9)

Reorder the terms:
-1ln + lnx + -1ln(5 + x) = ln(x + -5) + -1ln(x + 9)
-1ln + lnx + (5 * -1ln + x * -1ln) = ln(x + -5) + -1ln(x + 9)
-1ln + lnx + (-5ln + -1lnx) = ln(x + -5) + -1ln(x + 9)

Reorder the terms:
-1ln + -5ln + lnx + -1lnx = ln(x + -5) + -1ln(x + 9)

Combine like terms: -1ln + -5ln = -6ln
-6ln + lnx + -1lnx = ln(x + -5) + -1ln(x + 9)

Combine like terms: lnx + -1lnx = 0
-6ln + 0 = ln(x + -5) + -1ln(x + 9)
-6ln = ln(x + -5) + -1ln(x + 9)

Reorder the terms:
-6ln = ln(-5 + x) + -1ln(x + 9)
-6ln = (-5 * ln + x * ln) + -1ln(x + 9)
-6ln = (-5ln + lnx) + -1ln(x + 9)

Reorder the terms:
-6ln = -5ln + lnx + -1ln(9 + x)
-6ln = -5ln + lnx + (9 * -1ln + x * -1ln)
-6ln = -5ln + lnx + (-9ln + -1lnx)

Reorder the terms:
-6ln = -5ln + -9ln + lnx + -1lnx

Combine like terms: -5ln + -9ln = -14ln
-6ln = -14ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-6ln = -14ln + 0
-6ln = -14ln

Solving
-6ln = -14ln

Solving for variable 'l'.

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

Add '14ln' to each side of the equation.
-6ln + 14ln = -14ln + 14ln

Combine like terms: -6ln + 14ln = 8ln
8ln = -14ln + 14ln

Combine like terms: -14ln + 14ln = 0
8ln = 0

Divide each side by '8'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.