3n+5=7-n

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Solution for 3n+5=7-n equation:


Simplifying
3n + 5 = 7 + -1n

Reorder the terms:
5 + 3n = 7 + -1n

Solving
5 + 3n = 7 + -1n

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 + 3n + n = 7 + -1n + n

Combine like terms: 3n + n = 4n
5 + 4n = 7 + -1n + n

Combine like terms: -1n + n = 0
5 + 4n = 7 + 0
5 + 4n = 7

Add '-5' to each side of the equation.
5 + -5 + 4n = 7 + -5

Combine like terms: 5 + -5 = 0
0 + 4n = 7 + -5
4n = 7 + -5

Combine like terms: 7 + -5 = 2
4n = 2

Divide each side by '4'.
n = 0.5

Simplifying
n = 0.5

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