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

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

Simplifying
-2k + -3(4 + -2k) = 2(k + -3)
-2k + (4 * -3 + -2k * -3) = 2(k + -3)
-2k + (-12 + 6k) = 2(k + -3)

Reorder the terms:
-12 + -2k + 6k = 2(k + -3)

Combine like terms: -2k + 6k = 4k
-12 + 4k = 2(k + -3)

Reorder the terms:
-12 + 4k = 2(-3 + k)
-12 + 4k = (-3 * 2 + k * 2)
-12 + 4k = (-6 + 2k)

Solving
-12 + 4k = -6 + 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.
-12 + 4k + -2k = -6 + 2k + -2k

Combine like terms: 4k + -2k = 2k
-12 + 2k = -6 + 2k + -2k

Combine like terms: 2k + -2k = 0
-12 + 2k = -6 + 0
-12 + 2k = -6

Add '12' to each side of the equation.
-12 + 12 + 2k = -6 + 12

Combine like terms: -12 + 12 = 0
0 + 2k = -6 + 12
2k = -6 + 12

Combine like terms: -6 + 12 = 6
2k = 6

Divide each side by '2'.
k = 3

Simplifying
k = 3