3(k+2)=2+4k

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

Simplifying
3(k + 2) = 2 + 4k

Reorder the terms:
3(2 + k) = 2 + 4k
(2 * 3 + k * 3) = 2 + 4k
(6 + 3k) = 2 + 4k

Solving
6 + 3k = 2 + 4k

Solving for variable 'k'.

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

Add '-4k' to each side of the equation.
6 + 3k + -4k = 2 + 4k + -4k

Combine like terms: 3k + -4k = -1k
6 + -1k = 2 + 4k + -4k

Combine like terms: 4k + -4k = 0
6 + -1k = 2 + 0
6 + -1k = 2

Add '-6' to each side of the equation.
6 + -6 + -1k = 2 + -6

Combine like terms: 6 + -6 = 0
0 + -1k = 2 + -6
-1k = 2 + -6

Combine like terms: 2 + -6 = -4
-1k = -4

Divide each side by '-1'.
k = 4

Simplifying
k = 4