(k-3).2+(2k-5).4+4k=0

Solution for (k-3).2+(2k-5).4+4k=0 equation:

Simplifying
(k + -3) * 0.2 + (2k + -5) * 0.4 + 4k = 0

Reorder the terms:
(-3 + k) * 0.2 + (2k + -5) * 0.4 + 4k = 0

Reorder the terms for easier multiplication:
0.2(-3 + k) + (2k + -5) * 0.4 + 4k = 0
(-3 * 0.2 + k * 0.2) + (2k + -5) * 0.4 + 4k = 0
(-0.6 + 0.2k) + (2k + -5) * 0.4 + 4k = 0

Reorder the terms:
-0.6 + 0.2k + (-5 + 2k) * 0.4 + 4k = 0

Reorder the terms for easier multiplication:
-0.6 + 0.2k + 0.4(-5 + 2k) + 4k = 0
-0.6 + 0.2k + (-5 * 0.4 + 2k * 0.4) + 4k = 0
-0.6 + 0.2k + (-2 + 0.8k) + 4k = 0

Reorder the terms:
-0.6 + -2 + 0.2k + 0.8k + 4k = 0

Combine like terms: -0.6 + -2 = -2.6
-2.6 + 0.2k + 0.8k + 4k = 0

Combine like terms: 0.2k + 0.8k = 1k
-2.6 + 1k + 4k = 0

Combine like terms: 1k + 4k = 5k
-2.6 + 5k = 0

Solving
-2.6 + 5k = 0

Solving for variable 'k'.

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

Add '2.6' to each side of the equation.
-2.6 + 2.6 + 5k = 0 + 2.6

Combine like terms: -2.6 + 2.6 = 0.0
0.0 + 5k = 0 + 2.6
5k = 0 + 2.6

Combine like terms: 0 + 2.6 = 2.6
5k = 2.6

Divide each side by '5'.
k = 0.52

Simplifying
k = 0.52