2(k+4)+1=19

Solution for 2(k+4)+1=19 equation:

Simplifying
2(k + 4) + 1 = 19

Reorder the terms:
2(4 + k) + 1 = 19
(4 * 2 + k * 2) + 1 = 19
(8 + 2k) + 1 = 19

Reorder the terms:
8 + 1 + 2k = 19

Combine like terms: 8 + 1 = 9
9 + 2k = 19

Solving
9 + 2k = 19

Solving for variable 'k'.

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

Add '-9' to each side of the equation.
9 + -9 + 2k = 19 + -9

Combine like terms: 9 + -9 = 0
0 + 2k = 19 + -9
2k = 19 + -9

Combine like terms: 19 + -9 = 10
2k = 10

Divide each side by '2'.
k = 5

Simplifying
k = 5