2(k+12)+8=11k-6

Solution for 2(k+12)+8=11k-6 equation:

Simplifying
2(k + 12) + 8 = 11k + -6

Reorder the terms:
2(12 + k) + 8 = 11k + -6
(12 * 2 + k * 2) + 8 = 11k + -6
(24 + 2k) + 8 = 11k + -6

Reorder the terms:
24 + 8 + 2k = 11k + -6

Combine like terms: 24 + 8 = 32
32 + 2k = 11k + -6

Reorder the terms:
32 + 2k = -6 + 11k

Solving
32 + 2k = -6 + 11k

Solving for variable 'k'.

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

Add '-11k' to each side of the equation.
32 + 2k + -11k = -6 + 11k + -11k

Combine like terms: 2k + -11k = -9k
32 + -9k = -6 + 11k + -11k

Combine like terms: 11k + -11k = 0
32 + -9k = -6 + 0
32 + -9k = -6

Add '-32' to each side of the equation.
32 + -32 + -9k = -6 + -32

Combine like terms: 32 + -32 = 0
0 + -9k = -6 + -32
-9k = -6 + -32

Combine like terms: -6 + -32 = -38
-9k = -38

Divide each side by '-9'.
k = 4.222222222

Simplifying
k = 4.222222222