7n+4=3n-8

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Solution for 7n+4=3n-8 equation:


Simplifying
7n + 4 = 3n + -8

Reorder the terms:
4 + 7n = 3n + -8

Reorder the terms:
4 + 7n = -8 + 3n

Solving
4 + 7n = -8 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
4 + 7n + -3n = -8 + 3n + -3n

Combine like terms: 7n + -3n = 4n
4 + 4n = -8 + 3n + -3n

Combine like terms: 3n + -3n = 0
4 + 4n = -8 + 0
4 + 4n = -8

Add '-4' to each side of the equation.
4 + -4 + 4n = -8 + -4

Combine like terms: 4 + -4 = 0
0 + 4n = -8 + -4
4n = -8 + -4

Combine like terms: -8 + -4 = -12
4n = -12

Divide each side by '4'.
n = -3

Simplifying
n = -3

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