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

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

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

Reorder the terms:
-2 + 2(4 + 5k) = -3k + 8(8 + -2k)
-2 + (4 * 2 + 5k * 2) = -3k + 8(8 + -2k)
-2 + (8 + 10k) = -3k + 8(8 + -2k)

Combine like terms: -2 + 8 = 6
6 + 10k = -3k + 8(8 + -2k)
6 + 10k = -3k + (8 * 8 + -2k * 8)
6 + 10k = -3k + (64 + -16k)

Reorder the terms:
6 + 10k = 64 + -3k + -16k

Combine like terms: -3k + -16k = -19k
6 + 10k = 64 + -19k

Solving
6 + 10k = 64 + -19k

Solving for variable 'k'.

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

Add '19k' to each side of the equation.
6 + 10k + 19k = 64 + -19k + 19k

Combine like terms: 10k + 19k = 29k
6 + 29k = 64 + -19k + 19k

Combine like terms: -19k + 19k = 0
6 + 29k = 64 + 0
6 + 29k = 64

Add '-6' to each side of the equation.
6 + -6 + 29k = 64 + -6

Combine like terms: 6 + -6 = 0
0 + 29k = 64 + -6
29k = 64 + -6

Combine like terms: 64 + -6 = 58
29k = 58

Divide each side by '29'.
k = 2

Simplifying
k = 2