3(k+2)=2k

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

Simplifying
3(k + 2) = 2k

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

Solving
6 + 3k = 2k

Solving for variable 'k'.

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

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

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

Combine like terms: 2k + -2k = 0
6 + 1k = 0

Add '-6' to each side of the equation.
6 + -6 + 1k = 0 + -6

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

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

Divide each side by '1'.
k = -6

Simplifying
k = -6