2+8n=6n+3(2+n)

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

Simplifying
2 + 8n = 6n + 3(2 + n)
2 + 8n = 6n + (2 * 3 + n * 3)
2 + 8n = 6n + (6 + 3n)

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

Combine like terms: 6n + 3n = 9n
2 + 8n = 6 + 9n

Solving
2 + 8n = 6 + 9n

Solving for variable 'n'.

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

Add '-9n' to each side of the equation.
2 + 8n + -9n = 6 + 9n + -9n

Combine like terms: 8n + -9n = -1n
2 + -1n = 6 + 9n + -9n

Combine like terms: 9n + -9n = 0
2 + -1n = 6 + 0
2 + -1n = 6

Add '-2' to each side of the equation.
2 + -2 + -1n = 6 + -2

Combine like terms: 2 + -2 = 0
0 + -1n = 6 + -2
-1n = 6 + -2

Combine like terms: 6 + -2 = 4
-1n = 4

Divide each side by '-1'.
n = -4

Simplifying
n = -4