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

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

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

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

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

Combine like terms: 2k + 6k = 8k
6 + 8k = 2(3k + -1)

Reorder the terms:
6 + 8k = 2(-1 + 3k)
6 + 8k = (-1 * 2 + 3k * 2)
6 + 8k = (-2 + 6k)

Solving
6 + 8k = -2 + 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 + 8k + -6k = -2 + 6k + -6k

Combine like terms: 8k + -6k = 2k
6 + 2k = -2 + 6k + -6k

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

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

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

Combine like terms: -2 + -6 = -8
2k = -8

Divide each side by '2'.
k = -4

Simplifying
k = -4