6+k=12-k

Solution for 6+k=12-k equation:

Simplifying
6 + k = 12 + -1k

Solving
6 + k = 12 + -1k

Solving for variable 'k'.

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

Add 'k' to each side of the equation.
6 + k + k = 12 + -1k + k

Combine like terms: k + k = 2k
6 + 2k = 12 + -1k + k

Combine like terms: -1k + k = 0
6 + 2k = 12 + 0
6 + 2k = 12

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

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

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

Divide each side by '2'.
k = 3

Simplifying
k = 3