6(1+2k)=6k+13

Solution for 6(1+2k)=6k+13 equation:

Simplifying
6(1 + 2k) = 6k + 13
(1 * 6 + 2k * 6) = 6k + 13
(6 + 12k) = 6k + 13

Reorder the terms:
6 + 12k = 13 + 6k

Solving
6 + 12k = 13 + 6k

Solving for variable 'k'.

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

Add '-6k' to each side of the equation.
6 + 12k + -6k = 13 + 6k + -6k

Combine like terms: 12k + -6k = 6k
6 + 6k = 13 + 6k + -6k

Combine like terms: 6k + -6k = 0
6 + 6k = 13 + 0
6 + 6k = 13

Add '-6' to each side of the equation.
6 + -6 + 6k = 13 + -6

Combine like terms: 6 + -6 = 0
0 + 6k = 13 + -6
6k = 13 + -6

Combine like terms: 13 + -6 = 7
6k = 7

Divide each side by '6'.
k = 1.166666667

Simplifying
k = 1.166666667