18x=2xn-2x

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Solution for 18x=2xn-2x equation: 


Simplifying
18x = 2xn + -2x

Solving
18x = 2nx + -2x

Solving for variable 'x'.

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

Add '-2nx' to each side of the equation.
-2nx + 18x = 2nx + -2nx + -2x

Combine like terms: 2nx + -2nx = 0
-2nx + 18x = 0 + -2x
-2nx + 18x = -2x

Add '2x' to each side of the equation.
-2nx + 18x + 2x = -2x + 2x

Combine like terms: 18x + 2x = 20x
-2nx + 20x = -2x + 2x

Combine like terms: -2x + 2x = 0
-2nx + 20x = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-1n + 10) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-1n + 10)' equal to zero and attempt to solve:

Simplifying
-1n + 10 = 0

Reorder the terms:
10 + -1n = 0

Solving
10 + -1n = 0

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

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

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

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

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

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

Simplifying
0 = -10 + n

The solution to this equation could not be determined.

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

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