2n-72=5xn+3n

Solution for 2n-72=5xn+3n equation:

Simplifying
2n + -72 = 5xn + 3n

Reorder the terms:
-72 + 2n = 5xn + 3n

Reorder the terms:
-72 + 2n = 3n + 5nx

Solving
-72 + 2n = 3n + 5nx

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
-72 + 2n + -3n = 3n + -3n + 5nx

Combine like terms: 2n + -3n = -1n
-72 + -1n = 3n + -3n + 5nx

Combine like terms: 3n + -3n = 0
-72 + -1n = 0 + 5nx
-72 + -1n = 5nx

Add '-5nx' to each side of the equation.
-72 + -1n + -5nx = 5nx + -5nx

Combine like terms: 5nx + -5nx = 0
-72 + -1n + -5nx = 0

Add '72' to each side of the equation.
-72 + -1n + 72 + -5nx = 0 + 72

Reorder the terms:
-72 + 72 + -1n + -5nx = 0 + 72

Combine like terms: -72 + 72 = 0
0 + -1n + -5nx = 0 + 72
-1n + -5nx = 0 + 72

Combine like terms: 0 + 72 = 72
-1n + -5nx = 72

Reorder the terms:
-72 + -1n + -5nx = 72 + -72

Combine like terms: 72 + -72 = 0
-72 + -1n + -5nx = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(72 + n + 5nx) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(72 + n + 5nx)' equal to zero and attempt to solve:

Simplifying
72 + n + 5nx = 0

Solving
72 + n + 5nx = 0

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

Add '-72' to each side of the equation.
72 + n + -72 + 5nx = 0 + -72

Reorder the terms:
72 + -72 + n + 5nx = 0 + -72

Combine like terms: 72 + -72 = 0
0 + n + 5nx = 0 + -72
n + 5nx = 0 + -72

Combine like terms: 0 + -72 = -72
n + 5nx = -72

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.