ln(x-6)-ln(x+2)=ln(x-4)-ln(x+10)

Solution for ln(x-6)-ln(x+2)=ln(x-4)-ln(x+10) equation:

Simplifying
ln(x + -6) + -1ln(x + 2) = ln(x + -4) + -1ln(x + 10)

Reorder the terms:
ln(-6 + x) + -1ln(x + 2) = ln(x + -4) + -1ln(x + 10)
(-6 * ln + x * ln) + -1ln(x + 2) = ln(x + -4) + -1ln(x + 10)
(-6ln + lnx) + -1ln(x + 2) = ln(x + -4) + -1ln(x + 10)

Reorder the terms:
-6ln + lnx + -1ln(2 + x) = ln(x + -4) + -1ln(x + 10)
-6ln + lnx + (2 * -1ln + x * -1ln) = ln(x + -4) + -1ln(x + 10)
-6ln + lnx + (-2ln + -1lnx) = ln(x + -4) + -1ln(x + 10)

Reorder the terms:
-6ln + -2ln + lnx + -1lnx = ln(x + -4) + -1ln(x + 10)

Combine like terms: -6ln + -2ln = -8ln
-8ln + lnx + -1lnx = ln(x + -4) + -1ln(x + 10)

Combine like terms: lnx + -1lnx = 0
-8ln + 0 = ln(x + -4) + -1ln(x + 10)
-8ln = ln(x + -4) + -1ln(x + 10)

Reorder the terms:
-8ln = ln(-4 + x) + -1ln(x + 10)
-8ln = (-4 * ln + x * ln) + -1ln(x + 10)
-8ln = (-4ln + lnx) + -1ln(x + 10)

Reorder the terms:
-8ln = -4ln + lnx + -1ln(10 + x)
-8ln = -4ln + lnx + (10 * -1ln + x * -1ln)
-8ln = -4ln + lnx + (-10ln + -1lnx)

Reorder the terms:
-8ln = -4ln + -10ln + lnx + -1lnx

Combine like terms: -4ln + -10ln = -14ln
-8ln = -14ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-8ln = -14ln + 0
-8ln = -14ln

Solving
-8ln = -14ln

Solving for variable 'l'.

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

Add '14ln' to each side of the equation.
-8ln + 14ln = -14ln + 14ln

Combine like terms: -8ln + 14ln = 6ln
6ln = -14ln + 14ln

Combine like terms: -14ln + 14ln = 0
6ln = 0

Divide each side by '6'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.