on(5x-20)=on(4x-12)

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Solution for on(5x-20)=on(4x-12) equation: 


Simplifying
on(5x + -20) = on(4x + -12)

Reorder the terms:
no(-20 + 5x) = on(4x + -12)
(-20 * no + 5x * no) = on(4x + -12)
(-20no + 5nox) = on(4x + -12)

Reorder the terms:
-20no + 5nox = no(-12 + 4x)
-20no + 5nox = (-12 * no + 4x * no)
-20no + 5nox = (-12no + 4nox)

Solving
-20no + 5nox = -12no + 4nox

Solving for variable 'n'.

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

Add '12no' to each side of the equation.
-20no + 12no + 5nox = -12no + 12no + 4nox

Combine like terms: -20no + 12no = -8no
-8no + 5nox = -12no + 12no + 4nox

Combine like terms: -12no + 12no = 0
-8no + 5nox = 0 + 4nox
-8no + 5nox = 4nox

Add '-4nox' to each side of the equation.
-8no + 5nox + -4nox = 4nox + -4nox

Combine like terms: 5nox + -4nox = 1nox
-8no + 1nox = 4nox + -4nox

Combine like terms: 4nox + -4nox = 0
-8no + 1nox = 0

Factor out the Greatest Common Factor (GCF), 'no'.
no(-8 + x) = 0


Subproblem 1
Set the factor 'no' equal to zero and attempt to solve:

Simplifying
no = 0

Solving
no = 0

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

Simplifying
no = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-8 + x)' equal to zero and attempt to solve:

Simplifying
-8 + x = 0

Solving
-8 + x = 0

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

Add '8' to each side of the equation.
-8 + 8 + x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + x = 0 + 8
x = 0 + 8

Combine like terms: 0 + 8 = 8
x = 8

Add '-1x' to each side of the equation.
x + -1x = 8 + -1x

Combine like terms: x + -1x = 0
0 = 8 + -1x

Simplifying
0 = 8 + -1x

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.

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