2(3k+1)=5(2k-6)

Solution for 2(3k+1)=5(2k-6) equation:

Simplifying
2(3k + 1) = 5(2k + -6)

Reorder the terms:
2(1 + 3k) = 5(2k + -6)
(1 * 2 + 3k * 2) = 5(2k + -6)
(2 + 6k) = 5(2k + -6)

Reorder the terms:
2 + 6k = 5(-6 + 2k)
2 + 6k = (-6 * 5 + 2k * 5)
2 + 6k = (-30 + 10k)

Solving
2 + 6k = -30 + 10k

Solving for variable 'k'.

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

Add '-10k' to each side of the equation.
2 + 6k + -10k = -30 + 10k + -10k

Combine like terms: 6k + -10k = -4k
2 + -4k = -30 + 10k + -10k

Combine like terms: 10k + -10k = 0
2 + -4k = -30 + 0
2 + -4k = -30

Add '-2' to each side of the equation.
2 + -2 + -4k = -30 + -2

Combine like terms: 2 + -2 = 0
0 + -4k = -30 + -2
-4k = -30 + -2

Combine like terms: -30 + -2 = -32
-4k = -32

Divide each side by '-4'.
k = 8

Simplifying
k = 8