5k+3=2k+1

Solution for 5k+3=2k+1 equation:

Simplifying
5k + 3 = 2k + 1

Reorder the terms:
3 + 5k = 2k + 1

Reorder the terms:
3 + 5k = 1 + 2k

Solving
3 + 5k = 1 + 2k

Solving for variable 'k'.

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

Add '-2k' to each side of the equation.
3 + 5k + -2k = 1 + 2k + -2k

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

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

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

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

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

Divide each side by '3'.
k = -0.6666666667

Simplifying
k = -0.6666666667