3n+7=n-1

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Solution for 3n+7=n-1 equation:


Simplifying
3n + 7 = n + -1

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

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

Solving
7 + 3n = -1 + n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
7 + 3n + -1n = -1 + n + -1n

Combine like terms: 3n + -1n = 2n
7 + 2n = -1 + n + -1n

Combine like terms: n + -1n = 0
7 + 2n = -1 + 0
7 + 2n = -1

Add '-7' to each side of the equation.
7 + -7 + 2n = -1 + -7

Combine like terms: 7 + -7 = 0
0 + 2n = -1 + -7
2n = -1 + -7

Combine like terms: -1 + -7 = -8
2n = -8

Divide each side by '2'.
n = -4

Simplifying
n = -4

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