2(n+3)+4n=3n+36

Solution for 2(n+3)+4n=3n+36 equation:

Simplifying
2(n + 3) + 4n = 3n + 36

Reorder the terms:
2(3 + n) + 4n = 3n + 36
(3 * 2 + n * 2) + 4n = 3n + 36
(6 + 2n) + 4n = 3n + 36

Combine like terms: 2n + 4n = 6n
6 + 6n = 3n + 36

Reorder the terms:
6 + 6n = 36 + 3n

Solving
6 + 6n = 36 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
6 + 6n + -3n = 36 + 3n + -3n

Combine like terms: 6n + -3n = 3n
6 + 3n = 36 + 3n + -3n

Combine like terms: 3n + -3n = 0
6 + 3n = 36 + 0
6 + 3n = 36

Add '-6' to each side of the equation.
6 + -6 + 3n = 36 + -6

Combine like terms: 6 + -6 = 0
0 + 3n = 36 + -6
3n = 36 + -6

Combine like terms: 36 + -6 = 30
3n = 30

Divide each side by '3'.
n = 10

Simplifying
n = 10