2n+6=3(n+3)

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

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

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

Reorder the terms:
6 + 2n = 3(3 + n)
6 + 2n = (3 * 3 + n * 3)
6 + 2n = (9 + 3n)

Solving
6 + 2n = 9 + 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 + 2n + -3n = 9 + 3n + -3n

Combine like terms: 2n + -3n = -1n
6 + -1n = 9 + 3n + -3n

Combine like terms: 3n + -3n = 0
6 + -1n = 9 + 0
6 + -1n = 9

Add '-6' to each side of the equation.
6 + -6 + -1n = 9 + -6

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

Combine like terms: 9 + -6 = 3
-1n = 3

Divide each side by '-1'.
n = -3

Simplifying
n = -3