2(1+3n)=12n

Solution for 2(1+3n)=12n equation:

Simplifying
2(1 + 3n) = 12n
(1 * 2 + 3n * 2) = 12n
(2 + 6n) = 12n

Solving
2 + 6n = 12n

Solving for variable 'n'.

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

Add '-12n' to each side of the equation.
2 + 6n + -12n = 12n + -12n

Combine like terms: 6n + -12n = -6n
2 + -6n = 12n + -12n

Combine like terms: 12n + -12n = 0
2 + -6n = 0

Add '-2' to each side of the equation.
2 + -2 + -6n = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -6n = 0 + -2
-6n = 0 + -2

Combine like terms: 0 + -2 = -2
-6n = -2

Divide each side by '-6'.
n = 0.3333333333

Simplifying
n = 0.3333333333