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 = 11k
3 + -10k = 6 + 11k

Solving
3 + -10k = 6 + 11k

Solving for variable 'k'.

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

Add '-11k' to each side of the equation.
3 + -10k + -11k = 6 + 11k + -11k

Combine like terms: -10k + -11k = -21k
3 + -21k = 6 + 11k + -11k

Combine like terms: 11k + -11k = 0
3 + -21k = 6 + 0
3 + -21k = 6

Add '-3' to each side of the equation.
3 + -3 + -21k = 6 + -3

Combine like terms: 3 + -3 = 0
0 + -21k = 6 + -3
-21k = 6 + -3

Combine like terms: 6 + -3 = 3
-21k = 3

Divide each side by '-21'.
k = -0.1428571429

Simplifying
k = -0.1428571429