n(4x+1)-ln(3)=5

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Solution for n(4x+1)-ln(3)=5 equation: 


Simplifying
n(4x + 1) + -1ln(3) = 5

Reorder the terms:
n(1 + 4x) + -1ln(3) = 5
(1 * n + 4x * n) + -1ln(3) = 5
(1n + 4nx) + -1ln(3) = 5

Reorder the terms for easier multiplication:
1n + 4nx + -1 * 3ln = 5

Multiply -1 * 3
1n + 4nx + -3ln = 5

Reorder the terms:
-3ln + 1n + 4nx = 5

Solving
-3ln + 1n + 4nx = 5

Solving for variable 'l'.

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

Add '-1n' to each side of the equation.
-3ln + 1n + -1n + 4nx = 5 + -1n

Combine like terms: 1n + -1n = 0
-3ln + 0 + 4nx = 5 + -1n
-3ln + 4nx = 5 + -1n

Add '-4nx' to each side of the equation.
-3ln + 4nx + -4nx = 5 + -1n + -4nx

Combine like terms: 4nx + -4nx = 0
-3ln + 0 = 5 + -1n + -4nx
-3ln = 5 + -1n + -4nx

Divide each side by '-3n'.
l = -1.666666667n-1 + 0.3333333333 + 1.333333333x

Simplifying
l = -1.666666667n-1 + 0.3333333333 + 1.333333333x

Reorder the terms:
l = 0.3333333333 + -1.666666667n-1 + 1.333333333x

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