2(k-3)=(k+6)3

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

Simplifying
2(k + -3) = (k + 6) * 3

Reorder the terms:
2(-3 + k) = (k + 6) * 3
(-3 * 2 + k * 2) = (k + 6) * 3
(-6 + 2k) = (k + 6) * 3

Reorder the terms:
-6 + 2k = (6 + k) * 3

Reorder the terms for easier multiplication:
-6 + 2k = 3(6 + k)
-6 + 2k = (6 * 3 + k * 3)
-6 + 2k = (18 + 3k)

Solving
-6 + 2k = 18 + 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 = 18 + 3k + -3k

Combine like terms: 2k + -3k = -1k
-6 + -1k = 18 + 3k + -3k

Combine like terms: 3k + -3k = 0
-6 + -1k = 18 + 0
-6 + -1k = 18

Add '6' to each side of the equation.
-6 + 6 + -1k = 18 + 6

Combine like terms: -6 + 6 = 0
0 + -1k = 18 + 6
-1k = 18 + 6

Combine like terms: 18 + 6 = 24
-1k = 24

Divide each side by '-1'.
k = -24

Simplifying
k = -24