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

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

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

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

Reorder the terms for easier multiplication:
2k + 2(-8 + 3k) = (k + 4) * 5
2k + (-8 * 2 + 3k * 2) = (k + 4) * 5
2k + (-16 + 6k) = (k + 4) * 5

Reorder the terms:
-16 + 2k + 6k = (k + 4) * 5

Combine like terms: 2k + 6k = 8k
-16 + 8k = (k + 4) * 5

Reorder the terms:
-16 + 8k = (4 + k) * 5

Reorder the terms for easier multiplication:
-16 + 8k = 5(4 + k)
-16 + 8k = (4 * 5 + k * 5)
-16 + 8k = (20 + 5k)

Solving
-16 + 8k = 20 + 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.
-16 + 8k + -5k = 20 + 5k + -5k

Combine like terms: 8k + -5k = 3k
-16 + 3k = 20 + 5k + -5k

Combine like terms: 5k + -5k = 0
-16 + 3k = 20 + 0
-16 + 3k = 20

Add '16' to each side of the equation.
-16 + 16 + 3k = 20 + 16

Combine like terms: -16 + 16 = 0
0 + 3k = 20 + 16
3k = 20 + 16

Combine like terms: 20 + 16 = 36
3k = 36

Divide each side by '3'.
k = 12

Simplifying
k = 12