(4k+6)+2(-k+5)=22

Solution for (4k+6)+2(-k+5)=22 equation:

Simplifying
(4k + 6) + 2(-1k + 5) = 22

Reorder the terms:
(6 + 4k) + 2(-1k + 5) = 22

Remove parenthesis around (6 + 4k)
6 + 4k + 2(-1k + 5) = 22

Reorder the terms:
6 + 4k + 2(5 + -1k) = 22
6 + 4k + (5 * 2 + -1k * 2) = 22
6 + 4k + (10 + -2k) = 22

Reorder the terms:
6 + 10 + 4k + -2k = 22

Combine like terms: 6 + 10 = 16
16 + 4k + -2k = 22

Combine like terms: 4k + -2k = 2k
16 + 2k = 22

Solving
16 + 2k = 22

Solving for variable 'k'.

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

Add '-16' to each side of the equation.
16 + -16 + 2k = 22 + -16

Combine like terms: 16 + -16 = 0
0 + 2k = 22 + -16
2k = 22 + -16

Combine like terms: 22 + -16 = 6
2k = 6

Divide each side by '2'.
k = 3

Simplifying
k = 3