3n-5=7n+n

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


Simplifying
3n + -5 = 7n + n

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

Combine like terms: 7n + n = 8n
-5 + 3n = 8n

Solving
-5 + 3n = 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
-5 + 3n + -8n = 8n + -8n

Combine like terms: 3n + -8n = -5n
-5 + -5n = 8n + -8n

Combine like terms: 8n + -8n = 0
-5 + -5n = 0

Add '5' to each side of the equation.
-5 + 5 + -5n = 0 + 5

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

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

Divide each side by '-5'.
n = -1

Simplifying
n = -1

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