4(k+2)-8k-5=-3k+9-2(k+6)

Solution for 4(k+2)-8k-5=-3k+9-2(k+6) equation:

Simplifying
4(k + 2) + -8k + -5 = -3k + 9 + -2(k + 6)

Reorder the terms:
4(2 + k) + -8k + -5 = -3k + 9 + -2(k + 6)
(2 * 4 + k * 4) + -8k + -5 = -3k + 9 + -2(k + 6)
(8 + 4k) + -8k + -5 = -3k + 9 + -2(k + 6)

Reorder the terms:
8 + -5 + 4k + -8k = -3k + 9 + -2(k + 6)

Combine like terms: 8 + -5 = 3
3 + 4k + -8k = -3k + 9 + -2(k + 6)

Combine like terms: 4k + -8k = -4k
3 + -4k = -3k + 9 + -2(k + 6)

Reorder the terms:
3 + -4k = -3k + 9 + -2(6 + k)
3 + -4k = -3k + 9 + (6 * -2 + k * -2)
3 + -4k = -3k + 9 + (-12 + -2k)

Reorder the terms:
3 + -4k = 9 + -12 + -3k + -2k

Combine like terms: 9 + -12 = -3
3 + -4k = -3 + -3k + -2k

Combine like terms: -3k + -2k = -5k
3 + -4k = -3 + -5k

Solving
3 + -4k = -3 + -5k

Solving for variable 'k'.

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

Add '5k' to each side of the equation.
3 + -4k + 5k = -3 + -5k + 5k

Combine like terms: -4k + 5k = 1k
3 + 1k = -3 + -5k + 5k

Combine like terms: -5k + 5k = 0
3 + 1k = -3 + 0
3 + 1k = -3

Add '-3' to each side of the equation.
3 + -3 + 1k = -3 + -3

Combine like terms: 3 + -3 = 0
0 + 1k = -3 + -3
1k = -3 + -3

Combine like terms: -3 + -3 = -6
1k = -6

Divide each side by '1'.
k = -6

Simplifying
k = -6