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

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

Simplifying
3(6 + k) = 2(k + -3)
(6 * 3 + k * 3) = 2(k + -3)
(18 + 3k) = 2(k + -3)

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

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

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

Combine like terms: 2k + -2k = 0
18 + 1k = -6 + 0
18 + 1k = -6

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

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

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

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

Simplifying
k = -24