2n+5=4(x+2)-n

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Solution for 2n+5=4(x+2)-n equation:


Simplifying
2n + 5 = 4(x + 2) + -1n

Reorder the terms:
5 + 2n = 4(x + 2) + -1n

Reorder the terms:
5 + 2n = 4(2 + x) + -1n
5 + 2n = (2 * 4 + x * 4) + -1n
5 + 2n = (8 + 4x) + -1n

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

Solving
5 + 2n = 8 + -1n + 4x

Solving for variable 'n'.

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

Add 'n' to each side of the equation.
5 + 2n + n = 8 + -1n + n + 4x

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

Combine like terms: -1n + n = 0
5 + 3n = 8 + 0 + 4x
5 + 3n = 8 + 4x

Add '-5' to each side of the equation.
5 + -5 + 3n = 8 + -5 + 4x

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

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

Divide each side by '3'.
n = 1 + 1.333333333x

Simplifying
n = 1 + 1.333333333x

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