2(k-3)+4k=-(k-8)+2

Solution for 2(k-3)+4k=-(k-8)+2 equation:

Simplifying
2(k + -3) + 4k = -1(k + -8) + 2

Reorder the terms:
2(-3 + k) + 4k = -1(k + -8) + 2
(-3 * 2 + k * 2) + 4k = -1(k + -8) + 2
(-6 + 2k) + 4k = -1(k + -8) + 2

Combine like terms: 2k + 4k = 6k
-6 + 6k = -1(k + -8) + 2

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

Reorder the terms:
-6 + 6k = 8 + 2 + -1k

Combine like terms: 8 + 2 = 10
-6 + 6k = 10 + -1k

Solving
-6 + 6k = 10 + -1k

Solving for variable 'k'.

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

Add 'k' to each side of the equation.
-6 + 6k + k = 10 + -1k + k

Combine like terms: 6k + k = 7k
-6 + 7k = 10 + -1k + k

Combine like terms: -1k + k = 0
-6 + 7k = 10 + 0
-6 + 7k = 10

Add '6' to each side of the equation.
-6 + 6 + 7k = 10 + 6

Combine like terms: -6 + 6 = 0
0 + 7k = 10 + 6
7k = 10 + 6

Combine like terms: 10 + 6 = 16
7k = 16

Divide each side by '7'.
k = 2.285714286

Simplifying
k = 2.285714286