2[x-(4k+10)+4]=2(x+6)

Solution for 2[x-(4k+10)+4]=2(x+6) equation:

Simplifying
2[x + -1(4k + 10) + 4] = 2(x + 6)

Reorder the terms:
2[x + -1(10 + 4k) + 4] = 2(x + 6)
2[x + (10 * -1 + 4k * -1) + 4] = 2(x + 6)
2[x + (-10 + -4k) + 4] = 2(x + 6)

Reorder the terms:
2[-10 + 4 + -4k + x] = 2(x + 6)

Combine like terms: -10 + 4 = -6
2[-6 + -4k + x] = 2(x + 6)
[-6 * 2 + -4k * 2 + x * 2] = 2(x + 6)
[-12 + -8k + 2x] = 2(x + 6)

Reorder the terms:
-12 + -8k + 2x = 2(6 + x)
-12 + -8k + 2x = (6 * 2 + x * 2)
-12 + -8k + 2x = (12 + 2x)

Add '-2x' to each side of the equation.
-12 + -8k + 2x + -2x = 12 + 2x + -2x

Combine like terms: 2x + -2x = 0
-12 + -8k + 0 = 12 + 2x + -2x
-12 + -8k = 12 + 2x + -2x

Combine like terms: 2x + -2x = 0
-12 + -8k = 12 + 0
-12 + -8k = 12

Solving
-12 + -8k = 12

Solving for variable 'k'.

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

Add '12' to each side of the equation.
-12 + 12 + -8k = 12 + 12

Combine like terms: -12 + 12 = 0
0 + -8k = 12 + 12
-8k = 12 + 12

Combine like terms: 12 + 12 = 24
-8k = 24

Divide each side by '-8'.
k = -3

Simplifying
k = -3