ln(x-3)-ln(x+6)=ln(x-2)-ln(x+9)

Solution for ln(x-3)-ln(x+6)=ln(x-2)-ln(x+9) equation:

Simplifying
ln(x + -3) + -1ln(x + 6) = ln(x + -2) + -1ln(x + 9)

Reorder the terms:
ln(-3 + x) + -1ln(x + 6) = ln(x + -2) + -1ln(x + 9)
(-3 * ln + x * ln) + -1ln(x + 6) = ln(x + -2) + -1ln(x + 9)
(-3ln + lnx) + -1ln(x + 6) = ln(x + -2) + -1ln(x + 9)

Reorder the terms:
-3ln + lnx + -1ln(6 + x) = ln(x + -2) + -1ln(x + 9)
-3ln + lnx + (6 * -1ln + x * -1ln) = ln(x + -2) + -1ln(x + 9)
-3ln + lnx + (-6ln + -1lnx) = ln(x + -2) + -1ln(x + 9)

Reorder the terms:
-3ln + -6ln + lnx + -1lnx = ln(x + -2) + -1ln(x + 9)

Combine like terms: -3ln + -6ln = -9ln
-9ln + lnx + -1lnx = ln(x + -2) + -1ln(x + 9)

Combine like terms: lnx + -1lnx = 0
-9ln + 0 = ln(x + -2) + -1ln(x + 9)
-9ln = ln(x + -2) + -1ln(x + 9)

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

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

Reorder the terms:
-9ln = -2ln + -9ln + lnx + -1lnx

Combine like terms: -2ln + -9ln = -11ln
-9ln = -11ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-9ln = -11ln + 0
-9ln = -11ln

Solving
-9ln = -11ln

Solving for variable 'l'.

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

Add '11ln' to each side of the equation.
-9ln + 11ln = -11ln + 11ln

Combine like terms: -9ln + 11ln = 2ln
2ln = -11ln + 11ln

Combine like terms: -11ln + 11ln = 0
2ln = 0

Divide each side by '2'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.