2(1+3n)=4(3+2n)

Solution for 2(1+3n)=4(3+2n) equation:

Simplifying
2(1 + 3n) = 4(3 + 2n)
(1 * 2 + 3n * 2) = 4(3 + 2n)
(2 + 6n) = 4(3 + 2n)
2 + 6n = (3 * 4 + 2n * 4)
2 + 6n = (12 + 8n)

Solving
2 + 6n = 12 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
2 + 6n + -8n = 12 + 8n + -8n

Combine like terms: 6n + -8n = -2n
2 + -2n = 12 + 8n + -8n

Combine like terms: 8n + -8n = 0
2 + -2n = 12 + 0
2 + -2n = 12

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

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

Combine like terms: 12 + -2 = 10
-2n = 10

Divide each side by '-2'.
n = -5

Simplifying
n = -5