5k+6=2k-9

Solution for 5k+6=2k-9 equation:

Simplifying
5k + 6 = 2k + -9

Reorder the terms:
6 + 5k = 2k + -9

Reorder the terms:
6 + 5k = -9 + 2k

Solving
6 + 5k = -9 + 2k

Solving for variable 'k'.

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

Add '-2k' to each side of the equation.
6 + 5k + -2k = -9 + 2k + -2k

Combine like terms: 5k + -2k = 3k
6 + 3k = -9 + 2k + -2k

Combine like terms: 2k + -2k = 0
6 + 3k = -9 + 0
6 + 3k = -9

Add '-6' to each side of the equation.
6 + -6 + 3k = -9 + -6

Combine like terms: 6 + -6 = 0
0 + 3k = -9 + -6
3k = -9 + -6

Combine like terms: -9 + -6 = -15
3k = -15

Divide each side by '3'.
k = -5

Simplifying
k = -5