ln(x-2)-ln(x+5)=ln(x-1)-ln(x+10)

Solution for ln(x-2)-ln(x+5)=ln(x-1)-ln(x+10) equation:

Simplifying
ln(x + -2) + -1ln(x + 5) = ln(x + -1) + -1ln(x + 10)

Reorder the terms:
ln(-2 + x) + -1ln(x + 5) = ln(x + -1) + -1ln(x + 10)
(-2 * ln + x * ln) + -1ln(x + 5) = ln(x + -1) + -1ln(x + 10)
(-2ln + lnx) + -1ln(x + 5) = ln(x + -1) + -1ln(x + 10)

Reorder the terms:
-2ln + lnx + -1ln(5 + x) = ln(x + -1) + -1ln(x + 10)
-2ln + lnx + (5 * -1ln + x * -1ln) = ln(x + -1) + -1ln(x + 10)
-2ln + lnx + (-5ln + -1lnx) = ln(x + -1) + -1ln(x + 10)

Reorder the terms:
-2ln + -5ln + lnx + -1lnx = ln(x + -1) + -1ln(x + 10)

Combine like terms: -2ln + -5ln = -7ln
-7ln + lnx + -1lnx = ln(x + -1) + -1ln(x + 10)

Combine like terms: lnx + -1lnx = 0
-7ln + 0 = ln(x + -1) + -1ln(x + 10)
-7ln = ln(x + -1) + -1ln(x + 10)

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

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

Reorder the terms:
-7ln = -1ln + -10ln + lnx + -1lnx

Combine like terms: -1ln + -10ln = -11ln
-7ln = -11ln + lnx + -1lnx

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

Solving
-7ln = -11ln

Solving for variable 'l'.

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

Add '11ln' to each side of the equation.
-7ln + 11ln = -11ln + 11ln

Combine like terms: -7ln + 11ln = 4ln
4ln = -11ln + 11ln

Combine like terms: -11ln + 11ln = 0
4ln = 0

Divide each side by '4'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.