2(k+3)=8-4(k-1)

Solution for 2(k+3)=8-4(k-1) equation:

Simplifying
2(k + 3) = 8 + -4(k + -1)

Reorder the terms:
2(3 + k) = 8 + -4(k + -1)
(3 * 2 + k * 2) = 8 + -4(k + -1)
(6 + 2k) = 8 + -4(k + -1)

Reorder the terms:
6 + 2k = 8 + -4(-1 + k)
6 + 2k = 8 + (-1 * -4 + k * -4)
6 + 2k = 8 + (4 + -4k)

Combine like terms: 8 + 4 = 12
6 + 2k = 12 + -4k

Solving
6 + 2k = 12 + -4k

Solving for variable 'k'.

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

Add '4k' to each side of the equation.
6 + 2k + 4k = 12 + -4k + 4k

Combine like terms: 2k + 4k = 6k
6 + 6k = 12 + -4k + 4k

Combine like terms: -4k + 4k = 0
6 + 6k = 12 + 0
6 + 6k = 12

Add '-6' to each side of the equation.
6 + -6 + 6k = 12 + -6

Combine like terms: 6 + -6 = 0
0 + 6k = 12 + -6
6k = 12 + -6

Combine like terms: 12 + -6 = 6
6k = 6

Divide each side by '6'.
k = 1

Simplifying
k = 1