2n+6=4n+12

Solution for 2n+6=4n+12 equation:

Simplifying
2n + 6 = 4n + 12

Reorder the terms:
6 + 2n = 4n + 12

Reorder the terms:
6 + 2n = 12 + 4n

Solving
6 + 2n = 12 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
6 + 2n + -4n = 12 + 4n + -4n

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

Combine like terms: 4n + -4n = 0
6 + -2n = 12 + 0
6 + -2n = 12

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

Combine like terms: 6 + -6 = 0
0 + -2n = 12 + -6
-2n = 12 + -6

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

Divide each side by '-2'.
n = -3

Simplifying
n = -3