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

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

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

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

Reorder the terms:
6 + 5k = 5(1 + 5k)
6 + 5k = (1 * 5 + 5k * 5)
6 + 5k = (5 + 25k)

Solving
6 + 5k = 5 + 25k

Solving for variable 'k'.

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

Add '-25k' to each side of the equation.
6 + 5k + -25k = 5 + 25k + -25k

Combine like terms: 5k + -25k = -20k
6 + -20k = 5 + 25k + -25k

Combine like terms: 25k + -25k = 0
6 + -20k = 5 + 0
6 + -20k = 5

Add '-6' to each side of the equation.
6 + -6 + -20k = 5 + -6

Combine like terms: 6 + -6 = 0
0 + -20k = 5 + -6
-20k = 5 + -6

Combine like terms: 5 + -6 = -1
-20k = -1

Divide each side by '-20'.
k = 0.05

Simplifying
k = 0.05