2k-1=3(8-k)

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

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

Reorder the terms:
-1 + 2k = 3(8 + -1k)
-1 + 2k = (8 * 3 + -1k * 3)
-1 + 2k = (24 + -3k)

Solving
-1 + 2k = 24 + -3k

Solving for variable 'k'.

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

Add '3k' to each side of the equation.
-1 + 2k + 3k = 24 + -3k + 3k

Combine like terms: 2k + 3k = 5k
-1 + 5k = 24 + -3k + 3k

Combine like terms: -3k + 3k = 0
-1 + 5k = 24 + 0
-1 + 5k = 24

Add '1' to each side of the equation.
-1 + 1 + 5k = 24 + 1

Combine like terms: -1 + 1 = 0
0 + 5k = 24 + 1
5k = 24 + 1

Combine like terms: 24 + 1 = 25
5k = 25

Divide each side by '5'.
k = 5

Simplifying
k = 5