ln(x-10)-ln(x+4)+ln(x+11)=ln(x+3)

Solution for ln(x-10)-ln(x+4)+ln(x+11)=ln(x+3) equation:

Simplifying
ln(x + -10) + -1ln(x + 4) + ln(x + 11) = ln(x + 3)

Reorder the terms:
ln(-10 + x) + -1ln(x + 4) + ln(x + 11) = ln(x + 3)
(-10 * ln + x * ln) + -1ln(x + 4) + ln(x + 11) = ln(x + 3)
(-10ln + lnx) + -1ln(x + 4) + ln(x + 11) = ln(x + 3)

Reorder the terms:
-10ln + lnx + -1ln(4 + x) + ln(x + 11) = ln(x + 3)
-10ln + lnx + (4 * -1ln + x * -1ln) + ln(x + 11) = ln(x + 3)
-10ln + lnx + (-4ln + -1lnx) + ln(x + 11) = ln(x + 3)

Reorder the terms:
-10ln + lnx + -4ln + -1lnx + ln(11 + x) = ln(x + 3)
-10ln + lnx + -4ln + -1lnx + (11 * ln + x * ln) = ln(x + 3)
-10ln + lnx + -4ln + -1lnx + (11ln + lnx) = ln(x + 3)

Reorder the terms:
-10ln + -4ln + 11ln + lnx + -1lnx + lnx = ln(x + 3)

Combine like terms: -10ln + -4ln = -14ln
-14ln + 11ln + lnx + -1lnx + lnx = ln(x + 3)

Combine like terms: -14ln + 11ln = -3ln
-3ln + lnx + -1lnx + lnx = ln(x + 3)

Combine like terms: lnx + -1lnx = 0
-3ln + 0 + lnx = ln(x + 3)
-3ln + lnx = ln(x + 3)

Reorder the terms:
-3ln + lnx = ln(3 + x)
-3ln + lnx = (3 * ln + x * ln)
-3ln + lnx = (3ln + lnx)

Add '-1lnx' to each side of the equation.
-3ln + lnx + -1lnx = 3ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-3ln + 0 = 3ln + lnx + -1lnx
-3ln = 3ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-3ln = 3ln + 0
-3ln = 3ln

Solving
-3ln = 3ln

Solving for variable 'l'.

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

Add '-3ln' to each side of the equation.
-3ln + -3ln = 3ln + -3ln

Combine like terms: -3ln + -3ln = -6ln
-6ln = 3ln + -3ln

Combine like terms: 3ln + -3ln = 0
-6ln = 0

Divide each side by '-6'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.