2n+6=5((2n+6+3)-n)

Solution for 2n+6=5((2n+6+3)-n) equation:

Simplifying
2n + 6 = 5((2n + 6 + 3) + -1n)

Reorder the terms:
6 + 2n = 5((2n + 6 + 3) + -1n)

Reorder the terms:
6 + 2n = 5((6 + 3 + 2n) + -1n)

Combine like terms: 6 + 3 = 9
6 + 2n = 5((9 + 2n) + -1n)

Remove parenthesis around (9 + 2n)
6 + 2n = 5(9 + 2n + -1n)

Combine like terms: 2n + -1n = 1n
6 + 2n = 5(9 + 1n)
6 + 2n = (9 * 5 + 1n * 5)
6 + 2n = (45 + 5n)

Solving
6 + 2n = 45 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
6 + 2n + -5n = 45 + 5n + -5n

Combine like terms: 2n + -5n = -3n
6 + -3n = 45 + 5n + -5n

Combine like terms: 5n + -5n = 0
6 + -3n = 45 + 0
6 + -3n = 45

Add '-6' to each side of the equation.
6 + -6 + -3n = 45 + -6

Combine like terms: 6 + -6 = 0
0 + -3n = 45 + -6
-3n = 45 + -6

Combine like terms: 45 + -6 = 39
-3n = 39

Divide each side by '-3'.
n = -13

Simplifying
n = -13