6+6k=2(k+5)

Solution for 6+6k=2(k+5) equation:

Simplifying
6 + 6k = 2(k + 5)

Reorder the terms:
6 + 6k = 2(5 + k)
6 + 6k = (5 * 2 + k * 2)
6 + 6k = (10 + 2k)

Solving
6 + 6k = 10 + 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 + 6k + -2k = 10 + 2k + -2k

Combine like terms: 6k + -2k = 4k
6 + 4k = 10 + 2k + -2k

Combine like terms: 2k + -2k = 0
6 + 4k = 10 + 0
6 + 4k = 10

Add '-6' to each side of the equation.
6 + -6 + 4k = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 4k = 10 + -6
4k = 10 + -6

Combine like terms: 10 + -6 = 4
4k = 4

Divide each side by '4'.
k = 1

Simplifying
k = 1