2n-6=8n+1

Solution for 2n-6=8n+1 equation:

Simplifying
2n + -6 = 8n + 1

Reorder the terms:
-6 + 2n = 8n + 1

Reorder the terms:
-6 + 2n = 1 + 8n

Solving
-6 + 2n = 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 + 2n + -8n = 1 + 8n + -8n

Combine like terms: 2n + -8n = -6n
-6 + -6n = 1 + 8n + -8n

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

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

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

Combine like terms: 1 + 6 = 7
-6n = 7

Divide each side by '-6'.
n = -1.166666667

Simplifying
n = -1.166666667