3(2+5k)=6(k+7)

Solution for 3(2+5k)=6(k+7) equation:

Simplifying
3(2 + 5k) = 6(k + 7)
(2 * 3 + 5k * 3) = 6(k + 7)
(6 + 15k) = 6(k + 7)

Reorder the terms:
6 + 15k = 6(7 + k)
6 + 15k = (7 * 6 + k * 6)
6 + 15k = (42 + 6k)

Solving
6 + 15k = 42 + 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 + 15k + -6k = 42 + 6k + -6k

Combine like terms: 15k + -6k = 9k
6 + 9k = 42 + 6k + -6k

Combine like terms: 6k + -6k = 0
6 + 9k = 42 + 0
6 + 9k = 42

Add '-6' to each side of the equation.
6 + -6 + 9k = 42 + -6

Combine like terms: 6 + -6 = 0
0 + 9k = 42 + -6
9k = 42 + -6

Combine like terms: 42 + -6 = 36
9k = 36

Divide each side by '9'.
k = 4

Simplifying
k = 4