3n+6=1+8n

Solution for 3n+6=1+8n equation:

Simplifying
3n + 6 = 1 + 8n

Reorder the terms:
6 + 3n = 1 + 8n

Solving
6 + 3n = 1 + 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.
6 + 3n + -8n = 1 + 8n + -8n

Combine like terms: 3n + -8n = -5n
6 + -5n = 1 + 8n + -8n

Combine like terms: 8n + -8n = 0
6 + -5n = 1 + 0
6 + -5n = 1

Add '-6' to each side of the equation.
6 + -6 + -5n = 1 + -6

Combine like terms: 6 + -6 = 0
0 + -5n = 1 + -6
-5n = 1 + -6

Combine like terms: 1 + -6 = -5
-5n = -5

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

Simplifying
n = 1