3(2-k)=-(4k+3)

Solution for 3(2-k)=-(4k+3) equation:

Simplifying
3(2 + -1k) = -1(4k + 3)
(2 * 3 + -1k * 3) = -1(4k + 3)
(6 + -3k) = -1(4k + 3)

Reorder the terms:
6 + -3k = -1(3 + 4k)
6 + -3k = (3 * -1 + 4k * -1)
6 + -3k = (-3 + -4k)

Solving
6 + -3k = -3 + -4k

Solving for variable 'k'.

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

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

Combine like terms: -3k + 4k = 1k
6 + 1k = -3 + -4k + 4k

Combine like terms: -4k + 4k = 0
6 + 1k = -3 + 0
6 + 1k = -3

Add '-6' to each side of the equation.
6 + -6 + 1k = -3 + -6

Combine like terms: 6 + -6 = 0
0 + 1k = -3 + -6
1k = -3 + -6

Combine like terms: -3 + -6 = -9
1k = -9

Divide each side by '1'.
k = -9

Simplifying
k = -9