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

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

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

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

Solving
3 + -10k = -6 + -15k

Solving for variable 'k'.

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

Add '15k' to each side of the equation.
3 + -10k + 15k = -6 + -15k + 15k

Combine like terms: -10k + 15k = 5k
3 + 5k = -6 + -15k + 15k

Combine like terms: -15k + 15k = 0
3 + 5k = -6 + 0
3 + 5k = -6

Add '-3' to each side of the equation.
3 + -3 + 5k = -6 + -3

Combine like terms: 3 + -3 = 0
0 + 5k = -6 + -3
5k = -6 + -3

Combine like terms: -6 + -3 = -9
5k = -9

Divide each side by '5'.
k = -1.8

Simplifying
k = -1.8