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

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


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

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

Reorder the terms:
5 + 2n = 4(-5 + x) + -1n
5 + 2n = (-5 * 4 + x * 4) + -1n
5 + 2n = (-20 + 4x) + -1n

Reorder the terms:
5 + 2n = -20 + -1n + 4x

Solving
5 + 2n = -20 + -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 = -20 + -1n + n + 4x

Combine like terms: 2n + n = 3n
5 + 3n = -20 + -1n + n + 4x

Combine like terms: -1n + n = 0
5 + 3n = -20 + 0 + 4x
5 + 3n = -20 + 4x

Add '-5' to each side of the equation.
5 + -5 + 3n = -20 + -5 + 4x

Combine like terms: 5 + -5 = 0
0 + 3n = -20 + -5 + 4x
3n = -20 + -5 + 4x

Combine like terms: -20 + -5 = -25
3n = -25 + 4x

Divide each side by '3'.
n = -8.333333333 + 1.333333333x

Simplifying
n = -8.333333333 + 1.333333333x

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