1+3n(x-1)=4

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

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

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

Solving
1 + -3n + 3nx = 4

Solving for variable 'n'.

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

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

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

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

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

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

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

Factor out the Greatest Common Factor (GCF), '3'.
3(-1 + -1n + nx) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-1 + -1n + nx)' equal to zero and attempt to solve:

Simplifying
-1 + -1n + nx = 0

Solving
-1 + -1n + nx = 0

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

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

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

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

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

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.