4n+6-2n=2(n+3n)

Solution for 4n+6-2n=2(n+3n) equation:

Simplifying
4n + 6 + -2n = 2(n + 3n)

Reorder the terms:
6 + 4n + -2n = 2(n + 3n)

Combine like terms: 4n + -2n = 2n
6 + 2n = 2(n + 3n)

Combine like terms: n + 3n = 4n
6 + 2n = 2(4n)

Remove parenthesis around (4n)
6 + 2n = 2 * 4n

Multiply 2 * 4
6 + 2n = 8n

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

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

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

Add '-6' to each side of the equation.
6 + -6 + -6n = 0 + -6

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

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

Divide each side by '-6'.
n = 1

Simplifying
n = 1