4(3k+5)=2k

Solution for 4(3k+5)=2k equation:

Simplifying
4(3k + 5) = 2k

Reorder the terms:
4(5 + 3k) = 2k
(5 * 4 + 3k * 4) = 2k
(20 + 12k) = 2k

Solving
20 + 12k = 2k

Solving for variable 'k'.

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

Add '-2k' to each side of the equation.
20 + 12k + -2k = 2k + -2k

Combine like terms: 12k + -2k = 10k
20 + 10k = 2k + -2k

Combine like terms: 2k + -2k = 0
20 + 10k = 0

Add '-20' to each side of the equation.
20 + -20 + 10k = 0 + -20

Combine like terms: 20 + -20 = 0
0 + 10k = 0 + -20
10k = 0 + -20

Combine like terms: 0 + -20 = -20
10k = -20

Divide each side by '10'.
k = -2

Simplifying
k = -2