ln(x-3)-ln(x+8)=ln(x-2)-ln(x+12)

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Solution for ln(x-3)-ln(x+8)=ln(x-2)-ln(x+12) equation: 


Simplifying
ln(x + -3) + -1ln(x + 8) = ln(x + -2) + -1ln(x + 12)

Reorder the terms:
ln(-3 + x) + -1ln(x + 8) = ln(x + -2) + -1ln(x + 12)
(-3 * ln + x * ln) + -1ln(x + 8) = ln(x + -2) + -1ln(x + 12)
(-3ln + lnx) + -1ln(x + 8) = ln(x + -2) + -1ln(x + 12)

Reorder the terms:
-3ln + lnx + -1ln(8 + x) = ln(x + -2) + -1ln(x + 12)
-3ln + lnx + (8 * -1ln + x * -1ln) = ln(x + -2) + -1ln(x + 12)
-3ln + lnx + (-8ln + -1lnx) = ln(x + -2) + -1ln(x + 12)

Reorder the terms:
-3ln + -8ln + lnx + -1lnx = ln(x + -2) + -1ln(x + 12)

Combine like terms: -3ln + -8ln = -11ln
-11ln + lnx + -1lnx = ln(x + -2) + -1ln(x + 12)

Combine like terms: lnx + -1lnx = 0
-11ln + 0 = ln(x + -2) + -1ln(x + 12)
-11ln = ln(x + -2) + -1ln(x + 12)

Reorder the terms:
-11ln = ln(-2 + x) + -1ln(x + 12)
-11ln = (-2 * ln + x * ln) + -1ln(x + 12)
-11ln = (-2ln + lnx) + -1ln(x + 12)

Reorder the terms:
-11ln = -2ln + lnx + -1ln(12 + x)
-11ln = -2ln + lnx + (12 * -1ln + x * -1ln)
-11ln = -2ln + lnx + (-12ln + -1lnx)

Reorder the terms:
-11ln = -2ln + -12ln + lnx + -1lnx

Combine like terms: -2ln + -12ln = -14ln
-11ln = -14ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-11ln = -14ln + 0
-11ln = -14ln

Solving
-11ln = -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.
-11ln + 14ln = -14ln + 14ln

Combine like terms: -11ln + 14ln = 3ln
3ln = -14ln + 14ln

Combine like terms: -14ln + 14ln = 0
3ln = 0

Divide each side by '3'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.

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