3(4+2n)-3n=2(6+3n)

Solution for 3(4+2n)-3n=2(6+3n) equation:

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

Combine like terms: 6n + -3n = 3n
12 + 3n = 2(6 + 3n)
12 + 3n = (6 * 2 + 3n * 2)
12 + 3n = (12 + 6n)

Add '-12' to each side of the equation.
12 + -12 + 3n = 12 + -12 + 6n

Combine like terms: 12 + -12 = 0
0 + 3n = 12 + -12 + 6n
3n = 12 + -12 + 6n

Combine like terms: 12 + -12 = 0
3n = 0 + 6n
3n = 6n

Solving
3n = 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
3n + -6n = 6n + -6n

Combine like terms: 3n + -6n = -3n
-3n = 6n + -6n

Combine like terms: 6n + -6n = 0
-3n = 0

Divide each side by '-3'.
n = 0

Simplifying
n = 0