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

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

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

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

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

Solving
4k = 6 + 1k

Solving for variable 'k'.

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

Add '-1k' to each side of the equation.
4k + -1k = 6 + 1k + -1k

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

Combine like terms: 1k + -1k = 0
3k = 6 + 0
3k = 6

Divide each side by '3'.
k = 2

Simplifying
k = 2