3(2-k)=3k+2

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

Simplifying
3(2 + -1k) = 3k + 2
(2 * 3 + -1k * 3) = 3k + 2
(6 + -3k) = 3k + 2

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

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

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

Combine like terms: 3k + -3k = 0
6 + -6k = 2 + 0
6 + -6k = 2

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

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

Combine like terms: 2 + -6 = -4
-6k = -4

Divide each side by '-6'.
k = 0.6666666667

Simplifying
k = 0.6666666667