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

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

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

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

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

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

Reorder the terms:
-12 + 4k = -6 + 2 + 2k

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

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

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

Combine like terms: 2k + -2k = 0
-12 + 2k = -4 + 0
-12 + 2k = -4

Add '12' to each side of the equation.
-12 + 12 + 2k = -4 + 12

Combine like terms: -12 + 12 = 0
0 + 2k = -4 + 12
2k = -4 + 12

Combine like terms: -4 + 12 = 8
2k = 8

Divide each side by '2'.
k = 4

Simplifying
k = 4