5k+6=2(4K-14)+46

Solution for 5k+6=2(4K-14)+46 equation:

Simplifying
5k + 6 = 2(4K + -14) + 46

Reorder the terms:
6 + 5k = 2(4K + -14) + 46

Reorder the terms:
6 + 5k = 2(-14 + 4K) + 46
6 + 5k = (-14 * 2 + 4K * 2) + 46
6 + 5k = (-28 + 8K) + 46

Reorder the terms:
6 + 5k = -28 + 46 + 8K

Combine like terms: -28 + 46 = 18
6 + 5k = 18 + 8K

Solving
6 + 5k = 18 + 8K

Solving for variable 'k'.

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

Add '-6' to each side of the equation.
6 + -6 + 5k = 18 + -6 + 8K

Combine like terms: 6 + -6 = 0
0 + 5k = 18 + -6 + 8K
5k = 18 + -6 + 8K

Combine like terms: 18 + -6 = 12
5k = 12 + 8K

Divide each side by '5'.
k = 2.4 + 1.6K

Simplifying
k = 2.4 + 1.6K