2k+6=9k-36

Solution for 2k+6=9k-36 equation:

Simplifying
2k + 6 = 9k + -36

Reorder the terms:
6 + 2k = 9k + -36

Reorder the terms:
6 + 2k = -36 + 9k

Solving
6 + 2k = -36 + 9k

Solving for variable 'k'.

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

Add '-9k' to each side of the equation.
6 + 2k + -9k = -36 + 9k + -9k

Combine like terms: 2k + -9k = -7k
6 + -7k = -36 + 9k + -9k

Combine like terms: 9k + -9k = 0
6 + -7k = -36 + 0
6 + -7k = -36

Add '-6' to each side of the equation.
6 + -6 + -7k = -36 + -6

Combine like terms: 6 + -6 = 0
0 + -7k = -36 + -6
-7k = -36 + -6

Combine like terms: -36 + -6 = -42
-7k = -42

Divide each side by '-7'.
k = 6

Simplifying
k = 6