3n-7=8n+13

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Solution for 3n-7=8n+13 equation:


Simplifying
3n + -7 = 8n + 13

Reorder the terms:
-7 + 3n = 8n + 13

Reorder the terms:
-7 + 3n = 13 + 8n

Solving
-7 + 3n = 13 + 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.
-7 + 3n + -8n = 13 + 8n + -8n

Combine like terms: 3n + -8n = -5n
-7 + -5n = 13 + 8n + -8n

Combine like terms: 8n + -8n = 0
-7 + -5n = 13 + 0
-7 + -5n = 13

Add '7' to each side of the equation.
-7 + 7 + -5n = 13 + 7

Combine like terms: -7 + 7 = 0
0 + -5n = 13 + 7
-5n = 13 + 7

Combine like terms: 13 + 7 = 20
-5n = 20

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

Simplifying
n = -4

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