ln(x-2)-ln(x+9)=ln(x-7)-ln(x+1)

Solution for ln(x-2)-ln(x+9)=ln(x-7)-ln(x+1) equation:

Simplifying
ln(x + -2) + -1ln(x + 9) = ln(x + -7) + -1ln(x + 1)

Reorder the terms:
ln(-2 + x) + -1ln(x + 9) = ln(x + -7) + -1ln(x + 1)
(-2 * ln + x * ln) + -1ln(x + 9) = ln(x + -7) + -1ln(x + 1)
(-2ln + lnx) + -1ln(x + 9) = ln(x + -7) + -1ln(x + 1)

Reorder the terms:
-2ln + lnx + -1ln(9 + x) = ln(x + -7) + -1ln(x + 1)
-2ln + lnx + (9 * -1ln + x * -1ln) = ln(x + -7) + -1ln(x + 1)
-2ln + lnx + (-9ln + -1lnx) = ln(x + -7) + -1ln(x + 1)

Reorder the terms:
-2ln + -9ln + lnx + -1lnx = ln(x + -7) + -1ln(x + 1)

Combine like terms: -2ln + -9ln = -11ln
-11ln + lnx + -1lnx = ln(x + -7) + -1ln(x + 1)

Combine like terms: lnx + -1lnx = 0
-11ln + 0 = ln(x + -7) + -1ln(x + 1)
-11ln = ln(x + -7) + -1ln(x + 1)

Reorder the terms:
-11ln = ln(-7 + x) + -1ln(x + 1)
-11ln = (-7 * ln + x * ln) + -1ln(x + 1)
-11ln = (-7ln + lnx) + -1ln(x + 1)

Reorder the terms:
-11ln = -7ln + lnx + -1ln(1 + x)
-11ln = -7ln + lnx + (1 * -1ln + x * -1ln)
-11ln = -7ln + lnx + (-1ln + -1lnx)

Reorder the terms:
-11ln = -7ln + -1ln + lnx + -1lnx

Combine like terms: -7ln + -1ln = -8ln
-11ln = -8ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-11ln = -8ln + 0
-11ln = -8ln

Solving
-11ln = -8ln

Solving for variable 'l'.

Move all terms containing l to the left, all other terms to the right.

Add '8ln' to each side of the equation.
-11ln + 8ln = -8ln + 8ln

Combine like terms: -11ln + 8ln = -3ln
-3ln = -8ln + 8ln

Combine like terms: -8ln + 8ln = 0
-3ln = 0

Divide each side by '-3'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.