ln(x-4)-ln(x+6)=ln(x-6)-ln(x+3)

Solution for ln(x-4)-ln(x+6)=ln(x-6)-ln(x+3) equation:

Simplifying
ln(x + -4) + -1ln(x + 6) = ln(x + -6) + -1ln(x + 3)

Reorder the terms:
ln(-4 + x) + -1ln(x + 6) = ln(x + -6) + -1ln(x + 3)
(-4 * ln + x * ln) + -1ln(x + 6) = ln(x + -6) + -1ln(x + 3)
(-4ln + lnx) + -1ln(x + 6) = ln(x + -6) + -1ln(x + 3)

Reorder the terms:
-4ln + lnx + -1ln(6 + x) = ln(x + -6) + -1ln(x + 3)
-4ln + lnx + (6 * -1ln + x * -1ln) = ln(x + -6) + -1ln(x + 3)
-4ln + lnx + (-6ln + -1lnx) = ln(x + -6) + -1ln(x + 3)

Reorder the terms:
-4ln + -6ln + lnx + -1lnx = ln(x + -6) + -1ln(x + 3)

Combine like terms: -4ln + -6ln = -10ln
-10ln + lnx + -1lnx = ln(x + -6) + -1ln(x + 3)

Combine like terms: lnx + -1lnx = 0
-10ln + 0 = ln(x + -6) + -1ln(x + 3)
-10ln = ln(x + -6) + -1ln(x + 3)

Reorder the terms:
-10ln = ln(-6 + x) + -1ln(x + 3)
-10ln = (-6 * ln + x * ln) + -1ln(x + 3)
-10ln = (-6ln + lnx) + -1ln(x + 3)

Reorder the terms:
-10ln = -6ln + lnx + -1ln(3 + x)
-10ln = -6ln + lnx + (3 * -1ln + x * -1ln)
-10ln = -6ln + lnx + (-3ln + -1lnx)

Reorder the terms:
-10ln = -6ln + -3ln + lnx + -1lnx

Combine like terms: -6ln + -3ln = -9ln
-10ln = -9ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-10ln = -9ln + 0
-10ln = -9ln

Solving
-10ln = -9ln

Solving for variable 'l'.

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

Add '9ln' to each side of the equation.
-10ln + 9ln = -9ln + 9ln

Combine like terms: -10ln + 9ln = -1ln
-1ln = -9ln + 9ln

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

Divide each side by '-1'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.