3(n+6)=2n

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

Simplifying
3(n + 6) = 2n

Reorder the terms:
3(6 + n) = 2n
(6 * 3 + n * 3) = 2n
(18 + 3n) = 2n

Solving
18 + 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.
18 + 3n + -2n = 2n + -2n

Combine like terms: 3n + -2n = 1n
18 + 1n = 2n + -2n

Combine like terms: 2n + -2n = 0
18 + 1n = 0

Add '-18' to each side of the equation.
18 + -18 + 1n = 0 + -18

Combine like terms: 18 + -18 = 0
0 + 1n = 0 + -18
1n = 0 + -18

Combine like terms: 0 + -18 = -18
1n = -18

Divide each side by '1'.
n = -18

Simplifying
n = -18