3(2k+1)=2(k-3)

Solution for 3(2k+1)=2(k-3) equation:

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

Reorder the terms:
3(1 + 2k) = 2(k + -3)
(1 * 3 + 2k * 3) = 2(k + -3)
(3 + 6k) = 2(k + -3)

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

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

Combine like terms: 6k + -2k = 4k
3 + 4k = -6 + 2k + -2k

Combine like terms: 2k + -2k = 0
3 + 4k = -6 + 0
3 + 4k = -6

Add '-3' to each side of the equation.
3 + -3 + 4k = -6 + -3

Combine like terms: 3 + -3 = 0
0 + 4k = -6 + -3
4k = -6 + -3

Combine like terms: -6 + -3 = -9
4k = -9

Divide each side by '4'.
k = -2.25

Simplifying
k = -2.25