n+6=2n(2+3)

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

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

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

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

Reorder the terms for easier multiplication:
6 + n = 2 * 5n

Multiply 2 * 5
6 + n = 10n

Solving
6 + n = 10n

Solving for variable 'n'.

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

Add '-10n' to each side of the equation.
6 + n + -10n = 10n + -10n

Combine like terms: n + -10n = -9n
6 + -9n = 10n + -10n

Combine like terms: 10n + -10n = 0
6 + -9n = 0

Add '-6' to each side of the equation.
6 + -6 + -9n = 0 + -6

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

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

Divide each side by '-9'.
n = 0.6666666667

Simplifying
n = 0.6666666667