(2k+6)=(k+5k-1)

Solution for (2k+6)=(k+5k-1) equation:

Simplifying
(2k + 6) = (k + 5k + -1)

Reorder the terms:
(6 + 2k) = (k + 5k + -1)

Remove parenthesis around (6 + 2k)
6 + 2k = (k + 5k + -1)

Reorder the terms:
6 + 2k = (-1 + k + 5k)

Combine like terms: k + 5k = 6k
6 + 2k = (-1 + 6k)

Remove parenthesis around (-1 + 6k)
6 + 2k = -1 + 6k

Solving
6 + 2k = -1 + 6k

Solving for variable 'k'.

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

Add '-6k' to each side of the equation.
6 + 2k + -6k = -1 + 6k + -6k

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

Combine like terms: 6k + -6k = 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 = -7
-4k = -7

Divide each side by '-4'.
k = 1.75

Simplifying
k = 1.75