2n-4=5n+8

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Solution for 2n-4=5n+8 equation:


Simplifying
2n + -4 = 5n + 8

Reorder the terms:
-4 + 2n = 5n + 8

Reorder the terms:
-4 + 2n = 8 + 5n

Solving
-4 + 2n = 8 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
-4 + 2n + -5n = 8 + 5n + -5n

Combine like terms: 2n + -5n = -3n
-4 + -3n = 8 + 5n + -5n

Combine like terms: 5n + -5n = 0
-4 + -3n = 8 + 0
-4 + -3n = 8

Add '4' to each side of the equation.
-4 + 4 + -3n = 8 + 4

Combine like terms: -4 + 4 = 0
0 + -3n = 8 + 4
-3n = 8 + 4

Combine like terms: 8 + 4 = 12
-3n = 12

Divide each side by '-3'.
n = -4

Simplifying
n = -4

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