2(k+6)+3k-8=19

Solution for 2(k+6)+3k-8=19 equation:

Simplifying
2(k + 6) + 3k + -8 = 19

Reorder the terms:
2(6 + k) + 3k + -8 = 19
(6 * 2 + k * 2) + 3k + -8 = 19
(12 + 2k) + 3k + -8 = 19

Reorder the terms:
12 + -8 + 2k + 3k = 19

Combine like terms: 12 + -8 = 4
4 + 2k + 3k = 19

Combine like terms: 2k + 3k = 5k
4 + 5k = 19

Solving
4 + 5k = 19

Solving for variable 'k'.

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

Add '-4' to each side of the equation.
4 + -4 + 5k = 19 + -4

Combine like terms: 4 + -4 = 0
0 + 5k = 19 + -4
5k = 19 + -4

Combine like terms: 19 + -4 = 15
5k = 15

Divide each side by '5'.
k = 3

Simplifying
k = 3