5n+4=2n-5

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


Simplifying
5n + 4 = 2n + -5

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

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

Solving
4 + 5n = -5 + 2n

Solving for variable 'n'.

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

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

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

Combine like terms: 2n + -2n = 0
4 + 3n = -5 + 0
4 + 3n = -5

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

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

Combine like terms: -5 + -4 = -9
3n = -9

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

Simplifying
n = -3

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