-20-4.6xn=2.3xn+16.8

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Solution for -20-4.6xn=2.3xn+16.8 equation: 


Simplifying
-20 + -4.6xn = 2.3xn + 16.8

Reorder the terms:
-20 + -4.6nx = 16.8 + 2.3nx

Solving
-20 + -4.6nx = 16.8 + 2.3nx

Solving for variable 'n'.

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

Add '-2.3nx' to each side of the equation.
-20 + -4.6nx + -2.3nx = 16.8 + 2.3nx + -2.3nx

Combine like terms: -4.6nx + -2.3nx = -6.9nx
-20 + -6.9nx = 16.8 + 2.3nx + -2.3nx

Combine like terms: 2.3nx + -2.3nx = 0.0
-20 + -6.9nx = 16.8 + 0.0
-20 + -6.9nx = 16.8

Add '20' to each side of the equation.
-20 + 20 + -6.9nx = 16.8 + 20

Combine like terms: -20 + 20 = 0
0 + -6.9nx = 16.8 + 20
-6.9nx = 16.8 + 20

Combine like terms: 16.8 + 20 = 36.8
-6.9nx = 36.8

Divide each side by '-6.9x'.
n = -5.333333333x-1

Simplifying
n = -5.333333333x-1

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