7n+15=3n-5

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Solution for 7n+15=3n-5 equation:


Simplifying
7n + 15 = 3n + -5

Reorder the terms:
15 + 7n = 3n + -5

Reorder the terms:
15 + 7n = -5 + 3n

Solving
15 + 7n = -5 + 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.
15 + 7n + -3n = -5 + 3n + -3n

Combine like terms: 7n + -3n = 4n
15 + 4n = -5 + 3n + -3n

Combine like terms: 3n + -3n = 0
15 + 4n = -5 + 0
15 + 4n = -5

Add '-15' to each side of the equation.
15 + -15 + 4n = -5 + -15

Combine like terms: 15 + -15 = 0
0 + 4n = -5 + -15
4n = -5 + -15

Combine like terms: -5 + -15 = -20
4n = -20

Divide each side by '4'.
n = -5

Simplifying
n = -5

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