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

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

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

Reorder the terms:
4(1 + 3n) = 2(n + 3)
(1 * 4 + 3n * 4) = 2(n + 3)
(4 + 12n) = 2(n + 3)

Reorder the terms:
4 + 12n = 2(3 + n)
4 + 12n = (3 * 2 + n * 2)
4 + 12n = (6 + 2n)

Solving
4 + 12n = 6 + 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.
4 + 12n + -2n = 6 + 2n + -2n

Combine like terms: 12n + -2n = 10n
4 + 10n = 6 + 2n + -2n

Combine like terms: 2n + -2n = 0
4 + 10n = 6 + 0
4 + 10n = 6

Add '-4' to each side of the equation.
4 + -4 + 10n = 6 + -4

Combine like terms: 4 + -4 = 0
0 + 10n = 6 + -4
10n = 6 + -4

Combine like terms: 6 + -4 = 2
10n = 2

Divide each side by '10'.
n = 0.2

Simplifying
n = 0.2