2n+6=8n+3

Solution for 2n+6=8n+3 equation:

Simplifying
2n + 6 = 8n + 3

Reorder the terms:
6 + 2n = 8n + 3

Reorder the terms:
6 + 2n = 3 + 8n

Solving
6 + 2n = 3 + 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 = 3 + 8n + -8n

Combine like terms: 2n + -8n = -6n
6 + -6n = 3 + 8n + -8n

Combine like terms: 8n + -8n = 0
6 + -6n = 3 + 0
6 + -6n = 3

Add '-6' to each side of the equation.
6 + -6 + -6n = 3 + -6

Combine like terms: 6 + -6 = 0
0 + -6n = 3 + -6
-6n = 3 + -6

Combine like terms: 3 + -6 = -3
-6n = -3

Divide each side by '-6'.
n = 0.5

Simplifying
n = 0.5