ln(x-7)-ln(x+8)=ln(x-5)-ln(x+9)

Solution for ln(x-7)-ln(x+8)=ln(x-5)-ln(x+9) equation:

Simplifying
ln(x + -7) + -1ln(x + 8) = ln(x + -5) + -1ln(x + 9)

Reorder the terms:
ln(-7 + x) + -1ln(x + 8) = ln(x + -5) + -1ln(x + 9)
(-7 * ln + x * ln) + -1ln(x + 8) = ln(x + -5) + -1ln(x + 9)
(-7ln + lnx) + -1ln(x + 8) = ln(x + -5) + -1ln(x + 9)

Reorder the terms:
-7ln + lnx + -1ln(8 + x) = ln(x + -5) + -1ln(x + 9)
-7ln + lnx + (8 * -1ln + x * -1ln) = ln(x + -5) + -1ln(x + 9)
-7ln + lnx + (-8ln + -1lnx) = ln(x + -5) + -1ln(x + 9)

Reorder the terms:
-7ln + -8ln + lnx + -1lnx = ln(x + -5) + -1ln(x + 9)

Combine like terms: -7ln + -8ln = -15ln
-15ln + lnx + -1lnx = ln(x + -5) + -1ln(x + 9)

Combine like terms: lnx + -1lnx = 0
-15ln + 0 = ln(x + -5) + -1ln(x + 9)
-15ln = ln(x + -5) + -1ln(x + 9)

Reorder the terms:
-15ln = ln(-5 + x) + -1ln(x + 9)
-15ln = (-5 * ln + x * ln) + -1ln(x + 9)
-15ln = (-5ln + lnx) + -1ln(x + 9)

Reorder the terms:
-15ln = -5ln + lnx + -1ln(9 + x)
-15ln = -5ln + lnx + (9 * -1ln + x * -1ln)
-15ln = -5ln + lnx + (-9ln + -1lnx)

Reorder the terms:
-15ln = -5ln + -9ln + lnx + -1lnx

Combine like terms: -5ln + -9ln = -14ln
-15ln = -14ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-15ln = -14ln + 0
-15ln = -14ln

Solving
-15ln = -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.
-15ln + 14ln = -14ln + 14ln

Combine like terms: -15ln + 14ln = -1ln
-1ln = -14ln + 14ln

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

Divide each side by '-1'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.