ln(x-5)-ln(x+8)=ln(x+10)-ln(x+9)

Solution for ln(x-5)-ln(x+8)=ln(x+10)-ln(x+9) equation:

Simplifying
ln(x + -5) + -1ln(x + 8) = ln(x + 10) + -1ln(x + 9)

Reorder the terms:
ln(-5 + x) + -1ln(x + 8) = ln(x + 10) + -1ln(x + 9)
(-5 * ln + x * ln) + -1ln(x + 8) = ln(x + 10) + -1ln(x + 9)
(-5ln + lnx) + -1ln(x + 8) = ln(x + 10) + -1ln(x + 9)

Reorder the terms:
-5ln + lnx + -1ln(8 + x) = ln(x + 10) + -1ln(x + 9)
-5ln + lnx + (8 * -1ln + x * -1ln) = ln(x + 10) + -1ln(x + 9)
-5ln + lnx + (-8ln + -1lnx) = ln(x + 10) + -1ln(x + 9)

Reorder the terms:
-5ln + -8ln + lnx + -1lnx = ln(x + 10) + -1ln(x + 9)

Combine like terms: -5ln + -8ln = -13ln
-13ln + lnx + -1lnx = ln(x + 10) + -1ln(x + 9)

Combine like terms: lnx + -1lnx = 0
-13ln + 0 = ln(x + 10) + -1ln(x + 9)
-13ln = ln(x + 10) + -1ln(x + 9)

Reorder the terms:
-13ln = ln(10 + x) + -1ln(x + 9)
-13ln = (10 * ln + x * ln) + -1ln(x + 9)
-13ln = (10ln + lnx) + -1ln(x + 9)

Reorder the terms:
-13ln = 10ln + lnx + -1ln(9 + x)
-13ln = 10ln + lnx + (9 * -1ln + x * -1ln)
-13ln = 10ln + lnx + (-9ln + -1lnx)

Reorder the terms:
-13ln = 10ln + -9ln + lnx + -1lnx

Combine like terms: 10ln + -9ln = 1ln
-13ln = 1ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-13ln = 1ln + 0
-13ln = 1ln

Solving
-13ln = 1ln

Solving for variable 'l'.

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

Add '-1ln' to each side of the equation.
-13ln + -1ln = 1ln + -1ln

Combine like terms: -13ln + -1ln = -14ln
-14ln = 1ln + -1ln

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

Divide each side by '-14'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.