2(k+3)-8(3-5k)=

Solution for 2(k+3)-8(3-5k)= equation:

Simplifying
2(k + 3) + -8(3 + -5k) = 0

Reorder the terms:
2(3 + k) + -8(3 + -5k) = 0
(3 * 2 + k * 2) + -8(3 + -5k) = 0
(6 + 2k) + -8(3 + -5k) = 0
6 + 2k + (3 * -8 + -5k * -8) = 0
6 + 2k + (-24 + 40k) = 0

Reorder the terms:
6 + -24 + 2k + 40k = 0

Combine like terms: 6 + -24 = -18
-18 + 2k + 40k = 0

Combine like terms: 2k + 40k = 42k
-18 + 42k = 0

Solving
-18 + 42k = 0

Solving for variable 'k'.

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

Add '18' to each side of the equation.
-18 + 18 + 42k = 0 + 18

Combine like terms: -18 + 18 = 0
0 + 42k = 0 + 18
42k = 0 + 18

Combine like terms: 0 + 18 = 18
42k = 18

Divide each side by '42'.
k = 0.4285714286

Simplifying
k = 0.4285714286