1nx=1n(2x-10)

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Solution for 1nx=1n(2x-10) equation: 


Simplifying
1nx = 1n(2x + -10)

Reorder the terms:
1nx = 1n(-10 + 2x)
1nx = (-10 * 1n + 2x * 1n)
1nx = (-10n + 2nx)

Solving
1nx = -10n + 2nx

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 + 1nx = -10n + 10n + 2nx

Combine like terms: -10n + 10n = 0
10n + 1nx = 0 + 2nx
10n + 1nx = 2nx

Add '-2nx' to each side of the equation.
10n + 1nx + -2nx = 2nx + -2nx

Combine like terms: 1nx + -2nx = -1nx
10n + -1nx = 2nx + -2nx

Combine like terms: 2nx + -2nx = 0
10n + -1nx = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(10 + -1x) = 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 '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Add 'x' to each side of the equation.
-1x + x = -10 + x

Combine like terms: -1x + x = 0
0 = -10 + x

Simplifying
0 = -10 + x

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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