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

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

Simplifying
2(3 + -4k) = 2k + -4(k + 2)
(3 * 2 + -4k * 2) = 2k + -4(k + 2)
(6 + -8k) = 2k + -4(k + 2)

Reorder the terms:
6 + -8k = 2k + -4(2 + k)
6 + -8k = 2k + (2 * -4 + k * -4)
6 + -8k = 2k + (-8 + -4k)

Reorder the terms:
6 + -8k = -8 + 2k + -4k

Combine like terms: 2k + -4k = -2k
6 + -8k = -8 + -2k

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

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

Combine like terms: -2k + 2k = 0
6 + -6k = -8 + 0
6 + -6k = -8

Add '-6' to each side of the equation.
6 + -6 + -6k = -8 + -6

Combine like terms: 6 + -6 = 0
0 + -6k = -8 + -6
-6k = -8 + -6

Combine like terms: -8 + -6 = -14
-6k = -14

Divide each side by '-6'.
k = 2.333333333

Simplifying
k = 2.333333333