5xn=7n-5n

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Solution for 5xn=7n-5n equation: 


Simplifying
5xn = 7n + -5n

Combine like terms: 7n + -5n = 2n
5nx = 2n

Solving
5nx = 2n

Solving for variable 'n'.

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

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

Combine like terms: 2n + -2n = 0
-2n + 5nx = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-2 + 5x) = 0


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 '(-2 + 5x)' equal to zero and attempt to solve:

Simplifying
-2 + 5x = 0

Solving
-2 + 5x = 0

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

Add '2' to each side of the equation.
-2 + 2 + 5x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 5x = 0 + 2
5x = 0 + 2

Combine like terms: 0 + 2 = 2
5x = 2

Add '-5x' to each side of the equation.
5x + -5x = 2 + -5x

Combine like terms: 5x + -5x = 0
0 = 2 + -5x

Simplifying
0 = 2 + -5x

The solution to this equation could not be determined.

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

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