2(5NX+3)=8N+2(N+3)

Solution for 2(5NX+3)=8N+2(N+3) equation:

Simplifying
2(5NX + 3) = 8N + 2(N + 3)

Reorder the terms:
2(3 + 5NX) = 8N + 2(N + 3)
(3 * 2 + 5NX * 2) = 8N + 2(N + 3)
(6 + 10NX) = 8N + 2(N + 3)

Reorder the terms:
6 + 10NX = 8N + 2(3 + N)
6 + 10NX = 8N + (3 * 2 + N * 2)
6 + 10NX = 8N + (6 + 2N)

Reorder the terms:
6 + 10NX = 6 + 8N + 2N

Combine like terms: 8N + 2N = 10N
6 + 10NX = 6 + 10N

Add '-6' to each side of the equation.
6 + -6 + 10NX = 6 + -6 + 10N

Combine like terms: 6 + -6 = 0
0 + 10NX = 6 + -6 + 10N
10NX = 6 + -6 + 10N

Combine like terms: 6 + -6 = 0
10NX = 0 + 10N
10NX = 10N

Solving
10NX = 10N

Solving for variable 'N'.

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

Add '-10N' to each side of the equation.
-10N + 10NX = 10N + -10N

Combine like terms: 10N + -10N = 0
-10N + 10NX = 0

Factor out the Greatest Common Factor (GCF), '10N'.
10N(-1 + X) = 0

Ignore the factor 10.
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}