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

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

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

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

Reorder the terms for easier multiplication:
2(-3 + k) + (2k + -5) * 4 + 4k = 0
(-3 * 2 + k * 2) + (2k + -5) * 4 + 4k = 0
(-6 + 2k) + (2k + -5) * 4 + 4k = 0

Reorder the terms:
-6 + 2k + (-5 + 2k) * 4 + 4k = 0

Reorder the terms for easier multiplication:
-6 + 2k + 4(-5 + 2k) + 4k = 0
-6 + 2k + (-5 * 4 + 2k * 4) + 4k = 0
-6 + 2k + (-20 + 8k) + 4k = 0

Reorder the terms:
-6 + -20 + 2k + 8k + 4k = 0

Combine like terms: -6 + -20 = -26
-26 + 2k + 8k + 4k = 0

Combine like terms: 2k + 8k = 10k
-26 + 10k + 4k = 0

Combine like terms: 10k + 4k = 14k
-26 + 14k = 0

Solving
-26 + 14k = 0

Solving for variable 'k'.

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

Add '26' to each side of the equation.
-26 + 26 + 14k = 0 + 26

Combine like terms: -26 + 26 = 0
0 + 14k = 0 + 26
14k = 0 + 26

Combine like terms: 0 + 26 = 26
14k = 26

Divide each side by '14'.
k = 1.857142857

Simplifying
k = 1.857142857