3-10k=-3(5k+2)-4k

Solution for 3-10k=-3(5k+2)-4k equation:

Simplifying
3 + -10k = -3(5k + 2) + -4k

Reorder the terms:
3 + -10k = -3(2 + 5k) + -4k
3 + -10k = (2 * -3 + 5k * -3) + -4k
3 + -10k = (-6 + -15k) + -4k

Combine like terms: -15k + -4k = -19k
3 + -10k = -6 + -19k

Solving
3 + -10k = -6 + -19k

Solving for variable 'k'.

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

Add '19k' to each side of the equation.
3 + -10k + 19k = -6 + -19k + 19k

Combine like terms: -10k + 19k = 9k
3 + 9k = -6 + -19k + 19k

Combine like terms: -19k + 19k = 0
3 + 9k = -6 + 0
3 + 9k = -6

Add '-3' to each side of the equation.
3 + -3 + 9k = -6 + -3

Combine like terms: 3 + -3 = 0
0 + 9k = -6 + -3
9k = -6 + -3

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

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

Simplifying
k = -1