5k-(6+k)=-(2k+6)

Solution for 5k-(6+k)=-(2k+6) equation:

Simplifying
5k + -1(6 + k) = -1(2k + 6)
5k + (6 * -1 + k * -1) = -1(2k + 6)
5k + (-6 + -1k) = -1(2k + 6)

Reorder the terms:
-6 + 5k + -1k = -1(2k + 6)

Combine like terms: 5k + -1k = 4k
-6 + 4k = -1(2k + 6)

Reorder the terms:
-6 + 4k = -1(6 + 2k)
-6 + 4k = (6 * -1 + 2k * -1)
-6 + 4k = (-6 + -2k)

Add '6' to each side of the equation.
-6 + 6 + 4k = -6 + 6 + -2k

Combine like terms: -6 + 6 = 0
0 + 4k = -6 + 6 + -2k
4k = -6 + 6 + -2k

Combine like terms: -6 + 6 = 0
4k = 0 + -2k
4k = -2k

Solving
4k = -2k

Solving for variable 'k'.

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

Add '2k' to each side of the equation.
4k + 2k = -2k + 2k

Combine like terms: 4k + 2k = 6k
6k = -2k + 2k

Combine like terms: -2k + 2k = 0
6k = 0

Divide each side by '6'.
k = 0

Simplifying
k = 0