5k+1=2k+1k

Solution for 5k+1=2k+1k equation:

Simplifying
5k + 1 = 2k + 1k

Reorder the terms:
1 + 5k = 2k + 1k

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

Solving
1 + 5k = 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 + 5k + -3k = 3k + -3k

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

Combine like terms: 3k + -3k = 0
1 + 2k = 0

Add '-1' to each side of the equation.
1 + -1 + 2k = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2k = 0 + -1
2k = 0 + -1

Combine like terms: 0 + -1 = -1
2k = -1

Divide each side by '2'.
k = -0.5

Simplifying
k = -0.5