7k+6=2+5k-8

Solution for 7k+6=2+5k-8 equation:

Simplifying
7k + 6 = 2 + 5k + -8

Reorder the terms:
6 + 7k = 2 + 5k + -8

Reorder the terms:
6 + 7k = 2 + -8 + 5k

Combine like terms: 2 + -8 = -6
6 + 7k = -6 + 5k

Solving
6 + 7k = -6 + 5k

Solving for variable 'k'.

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

Add '-5k' to each side of the equation.
6 + 7k + -5k = -6 + 5k + -5k

Combine like terms: 7k + -5k = 2k
6 + 2k = -6 + 5k + -5k

Combine like terms: 5k + -5k = 0
6 + 2k = -6 + 0
6 + 2k = -6

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

Combine like terms: 6 + -6 = 0
0 + 2k = -6 + -6
2k = -6 + -6

Combine like terms: -6 + -6 = -12
2k = -12

Divide each side by '2'.
k = -6

Simplifying
k = -6