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

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

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

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

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

Solving
-6 + 3k = 6 + 6k

Solving for variable 'k'.

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

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

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

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

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

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

Combine like terms: 6 + 6 = 12
-3k = 12

Divide each side by '-3'.
k = -4

Simplifying
k = -4