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 = 10
10n = 10

Divide each side by '10'.
n = 1

Simplifying
n = 1