ln(x-8)-ln(x+2)=ln(x-10)-ln(x+4)

Solution for ln(x-8)-ln(x+2)=ln(x-10)-ln(x+4) equation:

Simplifying
ln(x + -8) + -1ln(x + 2) = ln(x + -10) + -1ln(x + 4)

Reorder the terms:
ln(-8 + x) + -1ln(x + 2) = ln(x + -10) + -1ln(x + 4)
(-8 * ln + x * ln) + -1ln(x + 2) = ln(x + -10) + -1ln(x + 4)
(-8ln + lnx) + -1ln(x + 2) = ln(x + -10) + -1ln(x + 4)

Reorder the terms:
-8ln + lnx + -1ln(2 + x) = ln(x + -10) + -1ln(x + 4)
-8ln + lnx + (2 * -1ln + x * -1ln) = ln(x + -10) + -1ln(x + 4)
-8ln + lnx + (-2ln + -1lnx) = ln(x + -10) + -1ln(x + 4)

Reorder the terms:
-8ln + -2ln + lnx + -1lnx = ln(x + -10) + -1ln(x + 4)

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

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

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

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

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

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

Combine like terms: lnx + -1lnx = 0
-10ln = -14ln + 0
-10ln = -14ln

Solving
-10ln = -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.
-10ln + 14ln = -14ln + 14ln

Combine like terms: -10ln + 14ln = 4ln
4ln = -14ln + 14ln

Combine like terms: -14ln + 14ln = 0
4ln = 0

Divide each side by '4'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.