ln(x-8)-ln(x+7)=ln(x-10)-ln(x+8)

Solution for ln(x-8)-ln(x+7)=ln(x-10)-ln(x+8) equation:

Simplifying
ln(x + -8) + -1ln(x + 7) = ln(x + -10) + -1ln(x + 8)

Reorder the terms:
ln(-8 + x) + -1ln(x + 7) = ln(x + -10) + -1ln(x + 8)
(-8 * ln + x * ln) + -1ln(x + 7) = ln(x + -10) + -1ln(x + 8)
(-8ln + lnx) + -1ln(x + 7) = ln(x + -10) + -1ln(x + 8)

Reorder the terms:
-8ln + lnx + -1ln(7 + x) = ln(x + -10) + -1ln(x + 8)
-8ln + lnx + (7 * -1ln + x * -1ln) = ln(x + -10) + -1ln(x + 8)
-8ln + lnx + (-7ln + -1lnx) = ln(x + -10) + -1ln(x + 8)

Reorder the terms:
-8ln + -7ln + lnx + -1lnx = ln(x + -10) + -1ln(x + 8)

Combine like terms: -8ln + -7ln = -15ln
-15ln + lnx + -1lnx = ln(x + -10) + -1ln(x + 8)

Combine like terms: lnx + -1lnx = 0
-15ln + 0 = ln(x + -10) + -1ln(x + 8)
-15ln = ln(x + -10) + -1ln(x + 8)

Reorder the terms:
-15ln = ln(-10 + x) + -1ln(x + 8)
-15ln = (-10 * ln + x * ln) + -1ln(x + 8)
-15ln = (-10ln + lnx) + -1ln(x + 8)

Reorder the terms:
-15ln = -10ln + lnx + -1ln(8 + x)
-15ln = -10ln + lnx + (8 * -1ln + x * -1ln)
-15ln = -10ln + lnx + (-8ln + -1lnx)

Reorder the terms:
-15ln = -10ln + -8ln + lnx + -1lnx

Combine like terms: -10ln + -8ln = -18ln
-15ln = -18ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-15ln = -18ln + 0
-15ln = -18ln

Solving
-15ln = -18ln

Solving for variable 'l'.

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

Add '18ln' to each side of the equation.
-15ln + 18ln = -18ln + 18ln

Combine like terms: -15ln + 18ln = 3ln
3ln = -18ln + 18ln

Combine like terms: -18ln + 18ln = 0
3ln = 0

Divide each side by '3'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.