8xn+4=4(2n+1)

Solution for 8xn+4=4(2n+1) equation:

Simplifying
8xn + 4 = 4(2n + 1)

Reorder the terms:
4 + 8nx = 4(2n + 1)

Reorder the terms:
4 + 8nx = 4(1 + 2n)
4 + 8nx = (1 * 4 + 2n * 4)
4 + 8nx = (4 + 8n)

Add '-4' to each side of the equation.
4 + -4 + 8nx = 4 + -4 + 8n

Combine like terms: 4 + -4 = 0
0 + 8nx = 4 + -4 + 8n
8nx = 4 + -4 + 8n

Combine like terms: 4 + -4 = 0
8nx = 0 + 8n
8nx = 8n

Solving
8nx = 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
-8n + 8nx = 8n + -8n

Combine like terms: 8n + -8n = 0
-8n + 8nx = 0

Factor out the Greatest Common Factor (GCF), '8n'.
8n(-1 + x) = 0

Ignore the factor 8.
Subproblem 1
Set the factor 'n' equal to zero and attempt to solve:

Simplifying
n = 0

Solving
n = 0

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

Simplifying
n = 0
Subproblem 2
Set the factor '(-1 + x)' equal to zero and attempt to solve:

Simplifying
-1 + x = 0

Solving
-1 + x = 0

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

Add '1' to each side of the equation.
-1 + 1 + x = 0 + 1

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

Combine like terms: 0 + 1 = 1
x = 1

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

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

Simplifying
0 = 1 + -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
n = {0}