n(x+3)+ln(x-4)-ln(x)=ln(3)

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

Simplifying
n(x + 3) + ln(x + -4) + -1ln(x) = ln(3)

Reorder the terms:
n(3 + x) + ln(x + -4) + -1ln(x) = ln(3)
(3 * n + x * n) + ln(x + -4) + -1ln(x) = ln(3)
(3n + nx) + ln(x + -4) + -1ln(x) = ln(3)

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

Multiply ln * x
3n + nx + -4ln + lnx + -1lnx = ln(3)

Reorder the terms:
-4ln + lnx + -1lnx + 3n + nx = ln(3)

Combine like terms: lnx + -1lnx = 0
-4ln + 0 + 3n + nx = ln(3)
-4ln + 3n + nx = ln(3)

Reorder the terms for easier multiplication:
-4ln + 3n + nx = 3ln

Solving
-4ln + 3n + nx = 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.
-4ln + 3n + -3ln + nx = 3ln + -3ln

Reorder the terms:
-4ln + -3ln + 3n + nx = 3ln + -3ln

Combine like terms: -4ln + -3ln = -7ln
-7ln + 3n + nx = 3ln + -3ln

Combine like terms: 3ln + -3ln = 0
-7ln + 3n + nx = 0

Add '-3n' to each side of the equation.
-7ln + 3n + -3n + nx = 0 + -3n

Combine like terms: 3n + -3n = 0
-7ln + 0 + nx = 0 + -3n
-7ln + nx = 0 + -3n
Remove the zero:
-7ln + nx = -3n

Add '-1nx' to each side of the equation.
-7ln + nx + -1nx = -3n + -1nx

Combine like terms: nx + -1nx = 0
-7ln + 0 = -3n + -1nx
-7ln = -3n + -1nx

Divide each side by '-7n'.
l = 0.4285714286 + 0.1428571429x

Simplifying
l = 0.4285714286 + 0.1428571429x