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

Solution for 3(n-2)+12=6n-3(4-n) equation:

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

Reorder the terms:
3(-2 + n) + 12 = 6n + -3(4 + -1n)
(-2 * 3 + n * 3) + 12 = 6n + -3(4 + -1n)
(-6 + 3n) + 12 = 6n + -3(4 + -1n)

Reorder the terms:
-6 + 12 + 3n = 6n + -3(4 + -1n)

Combine like terms: -6 + 12 = 6
6 + 3n = 6n + -3(4 + -1n)
6 + 3n = 6n + (4 * -3 + -1n * -3)
6 + 3n = 6n + (-12 + 3n)

Reorder the terms:
6 + 3n = -12 + 6n + 3n

Combine like terms: 6n + 3n = 9n
6 + 3n = -12 + 9n

Solving
6 + 3n = -12 + 9n

Solving for variable 'n'.

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

Add '-9n' to each side of the equation.
6 + 3n + -9n = -12 + 9n + -9n

Combine like terms: 3n + -9n = -6n
6 + -6n = -12 + 9n + -9n

Combine like terms: 9n + -9n = 0
6 + -6n = -12 + 0
6 + -6n = -12

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

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

Combine like terms: -12 + -6 = -18
-6n = -18

Divide each side by '-6'.
n = 3

Simplifying
n = 3