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

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

Simplifying
4n + 6 + -1n = 2(n + 3)

Reorder the terms:
6 + 4n + -1n = 2(n + 3)

Combine like terms: 4n + -1n = 3n
6 + 3n = 2(n + 3)

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

Add '-6' to each side of the equation.
6 + -6 + 3n = 6 + -6 + 2n

Combine like terms: 6 + -6 = 0
0 + 3n = 6 + -6 + 2n
3n = 6 + -6 + 2n

Combine like terms: 6 + -6 = 0
3n = 0 + 2n
3n = 2n

Solving
3n = 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
3n + -2n = 2n + -2n

Combine like terms: 3n + -2n = 1n
1n = 2n + -2n

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

Divide each side by '1'.
n = 0

Simplifying
n = 0