6(k+1)=2k+1

Solution for 6(k+1)=2k+1 equation:

Simplifying
6(k + 1) = 2k + 1

Reorder the terms:
6(1 + k) = 2k + 1
(1 * 6 + k * 6) = 2k + 1
(6 + 6k) = 2k + 1

Reorder the terms:
6 + 6k = 1 + 2k

Solving
6 + 6k = 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.
6 + 6k + -2k = 1 + 2k + -2k

Combine like terms: 6k + -2k = 4k
6 + 4k = 1 + 2k + -2k

Combine like terms: 2k + -2k = 0
6 + 4k = 1 + 0
6 + 4k = 1

Add '-6' to each side of the equation.
6 + -6 + 4k = 1 + -6

Combine like terms: 6 + -6 = 0
0 + 4k = 1 + -6
4k = 1 + -6

Combine like terms: 1 + -6 = -5
4k = -5

Divide each side by '4'.
k = -1.25

Simplifying
k = -1.25