ln(x-3)-ln(x+9)=ln(x-10)-ln(x+5)

Solution for ln(x-3)-ln(x+9)=ln(x-10)-ln(x+5) equation:

Simplifying
ln(x + -3) + -1ln(x + 9) = ln(x + -10) + -1ln(x + 5)

Reorder the terms:
ln(-3 + x) + -1ln(x + 9) = ln(x + -10) + -1ln(x + 5)
(-3 * ln + x * ln) + -1ln(x + 9) = ln(x + -10) + -1ln(x + 5)
(-3ln + lnx) + -1ln(x + 9) = ln(x + -10) + -1ln(x + 5)

Reorder the terms:
-3ln + lnx + -1ln(9 + x) = ln(x + -10) + -1ln(x + 5)
-3ln + lnx + (9 * -1ln + x * -1ln) = ln(x + -10) + -1ln(x + 5)
-3ln + lnx + (-9ln + -1lnx) = ln(x + -10) + -1ln(x + 5)

Reorder the terms:
-3ln + -9ln + lnx + -1lnx = ln(x + -10) + -1ln(x + 5)

Combine like terms: -3ln + -9ln = -12ln
-12ln + lnx + -1lnx = ln(x + -10) + -1ln(x + 5)

Combine like terms: lnx + -1lnx = 0
-12ln + 0 = ln(x + -10) + -1ln(x + 5)
-12ln = ln(x + -10) + -1ln(x + 5)

Reorder the terms:
-12ln = ln(-10 + x) + -1ln(x + 5)
-12ln = (-10 * ln + x * ln) + -1ln(x + 5)
-12ln = (-10ln + lnx) + -1ln(x + 5)

Reorder the terms:
-12ln = -10ln + lnx + -1ln(5 + x)
-12ln = -10ln + lnx + (5 * -1ln + x * -1ln)
-12ln = -10ln + lnx + (-5ln + -1lnx)

Reorder the terms:
-12ln = -10ln + -5ln + lnx + -1lnx

Combine like terms: -10ln + -5ln = -15ln
-12ln = -15ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-12ln = -15ln + 0
-12ln = -15ln

Solving
-12ln = -15ln

Solving for variable 'l'.

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

Add '15ln' to each side of the equation.
-12ln + 15ln = -15ln + 15ln

Combine like terms: -12ln + 15ln = 3ln
3ln = -15ln + 15ln

Combine like terms: -15ln + 15ln = 0
3ln = 0

Divide each side by '3'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.