2k+6=4+5k

Solution for 2k+6=4+5k equation:

Simplifying
2k + 6 = 4 + 5k

Reorder the terms:
6 + 2k = 4 + 5k

Solving
6 + 2k = 4 + 5k

Solving for variable 'k'.

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

Add '-5k' to each side of the equation.
6 + 2k + -5k = 4 + 5k + -5k

Combine like terms: 2k + -5k = -3k
6 + -3k = 4 + 5k + -5k

Combine like terms: 5k + -5k = 0
6 + -3k = 4 + 0
6 + -3k = 4

Add '-6' to each side of the equation.
6 + -6 + -3k = 4 + -6

Combine like terms: 6 + -6 = 0
0 + -3k = 4 + -6
-3k = 4 + -6

Combine like terms: 4 + -6 = -2
-3k = -2

Divide each side by '-3'.
k = 0.6666666667

Simplifying
k = 0.6666666667