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

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


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

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

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

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

Combine like terms: -8ln + -8ln = -16ln
-16ln + lnx + -1lnx = ln(x + -4) + -1ln(x + 10)

Combine like terms: lnx + -1lnx = 0
-16ln + 0 = ln(x + -4) + -1ln(x + 10)
-16ln = ln(x + -4) + -1ln(x + 10)

Reorder the terms:
-16ln = ln(-4 + x) + -1ln(x + 10)
-16ln = (-4 * ln + x * ln) + -1ln(x + 10)
-16ln = (-4ln + lnx) + -1ln(x + 10)

Reorder the terms:
-16ln = -4ln + lnx + -1ln(10 + x)
-16ln = -4ln + lnx + (10 * -1ln + x * -1ln)
-16ln = -4ln + lnx + (-10ln + -1lnx)

Reorder the terms:
-16ln = -4ln + -10ln + lnx + -1lnx

Combine like terms: -4ln + -10ln = -14ln
-16ln = -14ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-16ln = -14ln + 0
-16ln = -14ln

Solving
-16ln = -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.
-16ln + 14ln = -14ln + 14ln

Combine like terms: -16ln + 14ln = -2ln
-2ln = -14ln + 14ln

Combine like terms: -14ln + 14ln = 0
-2ln = 0

Divide each side by '-2'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.

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