5k-3(k-2)=-24

Solution for 5k-3(k-2)=-24 equation:

Simplifying
5k + -3(k + -2) = -24

Reorder the terms:
5k + -3(-2 + k) = -24
5k + (-2 * -3 + k * -3) = -24
5k + (6 + -3k) = -24

Reorder the terms:
6 + 5k + -3k = -24

Combine like terms: 5k + -3k = 2k
6 + 2k = -24

Solving
6 + 2k = -24

Solving for variable 'k'.

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

Add '-6' to each side of the equation.
6 + -6 + 2k = -24 + -6

Combine like terms: 6 + -6 = 0
0 + 2k = -24 + -6
2k = -24 + -6

Combine like terms: -24 + -6 = -30
2k = -30

Divide each side by '2'.
k = -15

Simplifying
k = -15