5(1+4k)+1=6(1+7k)

Solution for 5(1+4k)+1=6(1+7k) equation:

Simplifying
5(1 + 4k) + 1 = 6(1 + 7k)
(1 * 5 + 4k * 5) + 1 = 6(1 + 7k)
(5 + 20k) + 1 = 6(1 + 7k)

Reorder the terms:
5 + 1 + 20k = 6(1 + 7k)

Combine like terms: 5 + 1 = 6
6 + 20k = 6(1 + 7k)
6 + 20k = (1 * 6 + 7k * 6)
6 + 20k = (6 + 42k)

Add '-6' to each side of the equation.
6 + -6 + 20k = 6 + -6 + 42k

Combine like terms: 6 + -6 = 0
0 + 20k = 6 + -6 + 42k
20k = 6 + -6 + 42k

Combine like terms: 6 + -6 = 0
20k = 0 + 42k
20k = 42k

Solving
20k = 42k

Solving for variable 'k'.

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

Add '-42k' to each side of the equation.
20k + -42k = 42k + -42k

Combine like terms: 20k + -42k = -22k
-22k = 42k + -42k

Combine like terms: 42k + -42k = 0
-22k = 0

Divide each side by '-22'.
k = 0

Simplifying
k = 0