ln(x-9)-ln(x+6)=ln(x-5)-ln(x+2)

Solution for ln(x-9)-ln(x+6)=ln(x-5)-ln(x+2) equation:

Simplifying
ln(x + -9) + -1ln(x + 6) = ln(x + -5) + -1ln(x + 2)

Reorder the terms:
ln(-9 + x) + -1ln(x + 6) = ln(x + -5) + -1ln(x + 2)
(-9 * ln + x * ln) + -1ln(x + 6) = ln(x + -5) + -1ln(x + 2)
(-9ln + lnx) + -1ln(x + 6) = ln(x + -5) + -1ln(x + 2)

Reorder the terms:
-9ln + lnx + -1ln(6 + x) = ln(x + -5) + -1ln(x + 2)
-9ln + lnx + (6 * -1ln + x * -1ln) = ln(x + -5) + -1ln(x + 2)
-9ln + lnx + (-6ln + -1lnx) = ln(x + -5) + -1ln(x + 2)

Reorder the terms:
-9ln + -6ln + lnx + -1lnx = ln(x + -5) + -1ln(x + 2)

Combine like terms: -9ln + -6ln = -15ln
-15ln + lnx + -1lnx = ln(x + -5) + -1ln(x + 2)

Combine like terms: lnx + -1lnx = 0
-15ln + 0 = ln(x + -5) + -1ln(x + 2)
-15ln = ln(x + -5) + -1ln(x + 2)

Reorder the terms:
-15ln = ln(-5 + x) + -1ln(x + 2)
-15ln = (-5 * ln + x * ln) + -1ln(x + 2)
-15ln = (-5ln + lnx) + -1ln(x + 2)

Reorder the terms:
-15ln = -5ln + lnx + -1ln(2 + x)
-15ln = -5ln + lnx + (2 * -1ln + x * -1ln)
-15ln = -5ln + lnx + (-2ln + -1lnx)

Reorder the terms:
-15ln = -5ln + -2ln + lnx + -1lnx

Combine like terms: -5ln + -2ln = -7ln
-15ln = -7ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-15ln = -7ln + 0
-15ln = -7ln

Solving
-15ln = -7ln

Solving for variable 'l'.

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

Add '7ln' to each side of the equation.
-15ln + 7ln = -7ln + 7ln

Combine like terms: -15ln + 7ln = -8ln
-8ln = -7ln + 7ln

Combine like terms: -7ln + 7ln = 0
-8ln = 0

Divide each side by '-8'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.