2n-5=4n-8-n

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


Simplifying
2n + -5 = 4n + -8 + -1n

Reorder the terms:
-5 + 2n = 4n + -8 + -1n

Reorder the terms:
-5 + 2n = -8 + 4n + -1n

Combine like terms: 4n + -1n = 3n
-5 + 2n = -8 + 3n

Solving
-5 + 2n = -8 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
-5 + 2n + -3n = -8 + 3n + -3n

Combine like terms: 2n + -3n = -1n
-5 + -1n = -8 + 3n + -3n

Combine like terms: 3n + -3n = 0
-5 + -1n = -8 + 0
-5 + -1n = -8

Add '5' to each side of the equation.
-5 + 5 + -1n = -8 + 5

Combine like terms: -5 + 5 = 0
0 + -1n = -8 + 5
-1n = -8 + 5

Combine like terms: -8 + 5 = -3
-1n = -3

Divide each side by '-1'.
n = 3

Simplifying
n = 3

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