2k+6=3k-3

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

Simplifying
2k + 6 = 3k + -3

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

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

Solving
6 + 2k = -3 + 3k

Solving for variable 'k'.

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

Add '-3k' to each side of the equation.
6 + 2k + -3k = -3 + 3k + -3k

Combine like terms: 2k + -3k = -1k
6 + -1k = -3 + 3k + -3k

Combine like terms: 3k + -3k = 0
6 + -1k = -3 + 0
6 + -1k = -3

Add '-6' to each side of the equation.
6 + -6 + -1k = -3 + -6

Combine like terms: 6 + -6 = 0
0 + -1k = -3 + -6
-1k = -3 + -6

Combine like terms: -3 + -6 = -9
-1k = -9

Divide each side by '-1'.
k = 9

Simplifying
k = 9