2k+1=k+5+2k

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

Simplifying
2k + 1 = k + 5 + 2k

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

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

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

Solving
1 + 2k = 5 + 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 = 5 + 3k + -3k

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

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

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

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

Combine like terms: 5 + -1 = 4
-1k = 4

Divide each side by '-1'.
k = -4

Simplifying
k = -4