2n+5=5n-5

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


Simplifying
2n + 5 = 5n + -5

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

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

Solving
5 + 2n = -5 + 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.
5 + 2n + -5n = -5 + 5n + -5n

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

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

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

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

Combine like terms: -5 + -5 = -10
-3n = -10

Divide each side by '-3'.
n = 3.333333333

Simplifying
n = 3.333333333

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