5k+6=2k+12

Solution for 5k+6=2k+12 equation:

Simplifying
5k + 6 = 2k + 12

Reorder the terms:
6 + 5k = 2k + 12

Reorder the terms:
6 + 5k = 12 + 2k

Solving
6 + 5k = 12 + 2k

Solving for variable 'k'.

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

Add '-2k' to each side of the equation.
6 + 5k + -2k = 12 + 2k + -2k

Combine like terms: 5k + -2k = 3k
6 + 3k = 12 + 2k + -2k

Combine like terms: 2k + -2k = 0
6 + 3k = 12 + 0
6 + 3k = 12

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

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

Combine like terms: 12 + -6 = 6
3k = 6

Divide each side by '3'.
k = 2

Simplifying
k = 2