2k+6=5k-3

Solution for 2k+6=5k-3 equation:

Simplifying
2k + 6 = 5k + -3

Reorder the terms:
6 + 2k = 5k + -3

Reorder the terms:
6 + 2k = -3 + 5k

Solving
6 + 2k = -3 + 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 + 2k + -5k = -3 + 5k + -5k

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

Combine like terms: 5k + -5k = 0
6 + -3k = -3 + 0
6 + -3k = -3

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

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

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

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

Simplifying
k = 3