ln(x-4)-ln(x+5)=ln(x-6)-ln(x+6)

Solution for ln(x-4)-ln(x+5)=ln(x-6)-ln(x+6) equation:

Simplifying
ln(x + -4) + -1ln(x + 5) = ln(x + -6) + -1ln(x + 6)

Reorder the terms:
ln(-4 + x) + -1ln(x + 5) = ln(x + -6) + -1ln(x + 6)
(-4 * ln + x * ln) + -1ln(x + 5) = ln(x + -6) + -1ln(x + 6)
(-4ln + lnx) + -1ln(x + 5) = ln(x + -6) + -1ln(x + 6)

Reorder the terms:
-4ln + lnx + -1ln(5 + x) = ln(x + -6) + -1ln(x + 6)
-4ln + lnx + (5 * -1ln + x * -1ln) = ln(x + -6) + -1ln(x + 6)
-4ln + lnx + (-5ln + -1lnx) = ln(x + -6) + -1ln(x + 6)

Reorder the terms:
-4ln + -5ln + lnx + -1lnx = ln(x + -6) + -1ln(x + 6)

Combine like terms: -4ln + -5ln = -9ln
-9ln + lnx + -1lnx = ln(x + -6) + -1ln(x + 6)

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

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

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

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

Combine like terms: -6ln + -6ln = -12ln
-9ln = -12ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-9ln = -12ln + 0
-9ln = -12ln

Solving
-9ln = -12ln

Solving for variable 'l'.

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

Add '12ln' to each side of the equation.
-9ln + 12ln = -12ln + 12ln

Combine like terms: -9ln + 12ln = 3ln
3ln = -12ln + 12ln

Combine like terms: -12ln + 12ln = 0
3ln = 0

Divide each side by '3'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.