ln(x-4)-ln(x+3)=ln(x-9)-ln(x+5)

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Solution for ln(x-4)-ln(x+3)=ln(x-9)-ln(x+5) equation: 


Simplifying
ln(x + -4) + -1ln(x + 3) = ln(x + -9) + -1ln(x + 5)

Reorder the terms:
ln(-4 + x) + -1ln(x + 3) = ln(x + -9) + -1ln(x + 5)
(-4 * ln + x * ln) + -1ln(x + 3) = ln(x + -9) + -1ln(x + 5)
(-4ln + lnx) + -1ln(x + 3) = ln(x + -9) + -1ln(x + 5)

Reorder the terms:
-4ln + lnx + -1ln(3 + x) = ln(x + -9) + -1ln(x + 5)
-4ln + lnx + (3 * -1ln + x * -1ln) = ln(x + -9) + -1ln(x + 5)
-4ln + lnx + (-3ln + -1lnx) = ln(x + -9) + -1ln(x + 5)

Reorder the terms:
-4ln + -3ln + lnx + -1lnx = ln(x + -9) + -1ln(x + 5)

Combine like terms: -4ln + -3ln = -7ln
-7ln + lnx + -1lnx = ln(x + -9) + -1ln(x + 5)

Combine like terms: lnx + -1lnx = 0
-7ln + 0 = ln(x + -9) + -1ln(x + 5)
-7ln = ln(x + -9) + -1ln(x + 5)

Reorder the terms:
-7ln = ln(-9 + x) + -1ln(x + 5)
-7ln = (-9 * ln + x * ln) + -1ln(x + 5)
-7ln = (-9ln + lnx) + -1ln(x + 5)

Reorder the terms:
-7ln = -9ln + lnx + -1ln(5 + x)
-7ln = -9ln + lnx + (5 * -1ln + x * -1ln)
-7ln = -9ln + lnx + (-5ln + -1lnx)

Reorder the terms:
-7ln = -9ln + -5ln + lnx + -1lnx

Combine like terms: -9ln + -5ln = -14ln
-7ln = -14ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-7ln = -14ln + 0
-7ln = -14ln

Solving
-7ln = -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.
-7ln + 14ln = -14ln + 14ln

Combine like terms: -7ln + 14ln = 7ln
7ln = -14ln + 14ln

Combine like terms: -14ln + 14ln = 0
7ln = 0

Divide each side by '7'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.

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