3n+5=7n-15

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


Simplifying
3n + 5 = 7n + -15

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

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

Solving
5 + 3n = -15 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
5 + 3n + -7n = -15 + 7n + -7n

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

Combine like terms: 7n + -7n = 0
5 + -4n = -15 + 0
5 + -4n = -15

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

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

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

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

Simplifying
n = 5

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