6(k+1)=5k

Solution for 6(k+1)=5k equation:

Simplifying
6(k + 1) = 5k

Reorder the terms:
6(1 + k) = 5k
(1 * 6 + k * 6) = 5k
(6 + 6k) = 5k

Solving
6 + 6k = 5k

Solving for variable 'k'.

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

Add '-5k' to each side of the equation.
6 + 6k + -5k = 5k + -5k

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

Combine like terms: 5k + -5k = 0
6 + 1k = 0

Add '-6' to each side of the equation.
6 + -6 + 1k = 0 + -6

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

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

Divide each side by '1'.
k = -6

Simplifying
k = -6