ln(x-1)-ln(x+2)=ln(x-8)-ln(x+9)

Solution for ln(x-1)-ln(x+2)=ln(x-8)-ln(x+9) equation:

Simplifying
ln(x + -1) + -1ln(x + 2) = ln(x + -8) + -1ln(x + 9)

Reorder the terms:
ln(-1 + x) + -1ln(x + 2) = ln(x + -8) + -1ln(x + 9)
(-1 * ln + x * ln) + -1ln(x + 2) = ln(x + -8) + -1ln(x + 9)
(-1ln + lnx) + -1ln(x + 2) = ln(x + -8) + -1ln(x + 9)

Reorder the terms:
-1ln + lnx + -1ln(2 + x) = ln(x + -8) + -1ln(x + 9)
-1ln + lnx + (2 * -1ln + x * -1ln) = ln(x + -8) + -1ln(x + 9)
-1ln + lnx + (-2ln + -1lnx) = ln(x + -8) + -1ln(x + 9)

Reorder the terms:
-1ln + -2ln + lnx + -1lnx = ln(x + -8) + -1ln(x + 9)

Combine like terms: -1ln + -2ln = -3ln
-3ln + lnx + -1lnx = ln(x + -8) + -1ln(x + 9)

Combine like terms: lnx + -1lnx = 0
-3ln + 0 = ln(x + -8) + -1ln(x + 9)
-3ln = ln(x + -8) + -1ln(x + 9)

Reorder the terms:
-3ln = ln(-8 + x) + -1ln(x + 9)
-3ln = (-8 * ln + x * ln) + -1ln(x + 9)
-3ln = (-8ln + lnx) + -1ln(x + 9)

Reorder the terms:
-3ln = -8ln + lnx + -1ln(9 + x)
-3ln = -8ln + lnx + (9 * -1ln + x * -1ln)
-3ln = -8ln + lnx + (-9ln + -1lnx)

Reorder the terms:
-3ln = -8ln + -9ln + lnx + -1lnx

Combine like terms: -8ln + -9ln = -17ln
-3ln = -17ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-3ln = -17ln + 0
-3ln = -17ln

Solving
-3ln = -17ln

Solving for variable 'l'.

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

Add '17ln' to each side of the equation.
-3ln + 17ln = -17ln + 17ln

Combine like terms: -3ln + 17ln = 14ln
14ln = -17ln + 17ln

Combine like terms: -17ln + 17ln = 0
14ln = 0

Divide each side by '14'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.