2(k-3)=6+3k

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

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

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

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

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

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

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

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

Combine like terms: 6 + 6 = 12
-1k = 12

Divide each side by '-1'.
k = -12

Simplifying
k = -12