11+5(k-1)=3k-(6k-6)

Solution for 11+5(k-1)=3k-(6k-6) equation:

Simplifying
11 + 5(k + -1) = 3k + -1(6k + -6)

Reorder the terms:
11 + 5(-1 + k) = 3k + -1(6k + -6)
11 + (-1 * 5 + k * 5) = 3k + -1(6k + -6)
11 + (-5 + 5k) = 3k + -1(6k + -6)

Combine like terms: 11 + -5 = 6
6 + 5k = 3k + -1(6k + -6)

Reorder the terms:
6 + 5k = 3k + -1(-6 + 6k)
6 + 5k = 3k + (-6 * -1 + 6k * -1)
6 + 5k = 3k + (6 + -6k)

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

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

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

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

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

Solving
5k = -3k

Solving for variable 'k'.

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

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

Combine like terms: 5k + 3k = 8k
8k = -3k + 3k

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

Divide each side by '8'.
k = 0

Simplifying
k = 0