1n(x)=1n(5)+1n(x-6)

Solution for 1n(x)=1n(5)+1n(x-6) equation:

Simplifying
1n(x) = 1n(5) + 1n(x + -6)

Multiply n * x
1nx = 1n(5) + 1n(x + -6)

Reorder the terms for easier multiplication:
1nx = 1 * 5n + 1n(x + -6)

Multiply 1 * 5
1nx = 5n + 1n(x + -6)

Reorder the terms:
1nx = 5n + 1n(-6 + x)
1nx = 5n + (-6 * 1n + x * 1n)
1nx = 5n + (-6n + 1nx)

Combine like terms: 5n + -6n = -1n
1nx = -1n + 1nx

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

Combine like terms: 1nx + -1nx = 0
0 = -1n + 1nx + -1nx

Combine like terms: 1nx + -1nx = 0
0 = -1n + 0
0 = -1n

Solving
0 = -1n

Solving for variable 'n'.

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

Add 'n' to each side of the equation.
0 + n = -1n + n
Remove the zero:
n = -1n + n

Combine like terms: -1n + n = 0
n = 0

Simplifying
n = 0