ln(x-2)-ln(x+11)=ln(x-1)-ln(x+5)

Solution for ln(x-2)-ln(x+11)=ln(x-1)-ln(x+5) equation:

Simplifying
ln(x + -2) + -1ln(x + 11) = ln(x + -1) + -1ln(x + 5)

Reorder the terms:
ln(-2 + x) + -1ln(x + 11) = ln(x + -1) + -1ln(x + 5)
(-2 * ln + x * ln) + -1ln(x + 11) = ln(x + -1) + -1ln(x + 5)
(-2ln + lnx) + -1ln(x + 11) = ln(x + -1) + -1ln(x + 5)

Reorder the terms:
-2ln + lnx + -1ln(11 + x) = ln(x + -1) + -1ln(x + 5)
-2ln + lnx + (11 * -1ln + x * -1ln) = ln(x + -1) + -1ln(x + 5)
-2ln + lnx + (-11ln + -1lnx) = ln(x + -1) + -1ln(x + 5)

Reorder the terms:
-2ln + -11ln + lnx + -1lnx = ln(x + -1) + -1ln(x + 5)

Combine like terms: -2ln + -11ln = -13ln
-13ln + lnx + -1lnx = ln(x + -1) + -1ln(x + 5)

Combine like terms: lnx + -1lnx = 0
-13ln + 0 = ln(x + -1) + -1ln(x + 5)
-13ln = ln(x + -1) + -1ln(x + 5)

Reorder the terms:
-13ln = ln(-1 + x) + -1ln(x + 5)
-13ln = (-1 * ln + x * ln) + -1ln(x + 5)
-13ln = (-1ln + lnx) + -1ln(x + 5)

Reorder the terms:
-13ln = -1ln + lnx + -1ln(5 + x)
-13ln = -1ln + lnx + (5 * -1ln + x * -1ln)
-13ln = -1ln + lnx + (-5ln + -1lnx)

Reorder the terms:
-13ln = -1ln + -5ln + lnx + -1lnx

Combine like terms: -1ln + -5ln = -6ln
-13ln = -6ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-13ln = -6ln + 0
-13ln = -6ln

Solving
-13ln = -6ln

Solving for variable 'l'.

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

Add '6ln' to each side of the equation.
-13ln + 6ln = -6ln + 6ln

Combine like terms: -13ln + 6ln = -7ln
-7ln = -6ln + 6ln

Combine like terms: -6ln + 6ln = 0
-7ln = 0

Divide each side by '-7'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.