10k-[3k+(-3+5k)]=

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

Simplifying
10k + -1[3k + (-3 + 5k)] = 0

Remove parenthesis around (-3 + 5k)
10k + -1[3k + -3 + 5k] = 0

Reorder the terms:
10k + -1[-3 + 3k + 5k] = 0

Combine like terms: 3k + 5k = 8k
10k + -1[-3 + 8k] = 0
10k + [-3 * -1 + 8k * -1] = 0
10k + [3 + -8k] = 0

Reorder the terms:
3 + 10k + -8k = 0

Combine like terms: 10k + -8k = 2k
3 + 2k = 0

Solving
3 + 2k = 0

Solving for variable 'k'.

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

Add '-3' to each side of the equation.
3 + -3 + 2k = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2k = 0 + -3
2k = 0 + -3

Combine like terms: 0 + -3 = -3
2k = -3

Divide each side by '2'.
k = -1.5

Simplifying
k = -1.5