2(2k-1)x+4y=k

Solution for 2(2k-1)x+4y=k equation:

Simplifying
2(2k + -1) * x + 4y = k

Reorder the terms:
2(-1 + 2k) * x + 4y = k

Reorder the terms for easier multiplication:
2x(-1 + 2k) + 4y = k
(-1 * 2x + 2k * 2x) + 4y = k

Reorder the terms:
(4kx + -2x) + 4y = k
(4kx + -2x) + 4y = k

Solving
4kx + -2x + 4y = k

Solving for variable 'k'.

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

Add '-1k' to each side of the equation.
4kx + -2x + -1k + 4y = k + -1k

Reorder the terms:
-1k + 4kx + -2x + 4y = k + -1k

Combine like terms: k + -1k = 0
-1k + 4kx + -2x + 4y = 0

Add '2x' to each side of the equation.
-1k + 4kx + -2x + 2x + 4y = 0 + 2x

Combine like terms: -2x + 2x = 0
-1k + 4kx + 0 + 4y = 0 + 2x
-1k + 4kx + 4y = 0 + 2x
Remove the zero:
-1k + 4kx + 4y = 2x

Add '-4y' to each side of the equation.
-1k + 4kx + 4y + -4y = 2x + -4y

Combine like terms: 4y + -4y = 0
-1k + 4kx + 0 = 2x + -4y
-1k + 4kx = 2x + -4y

Reorder the terms:
-1k + 4kx + -2x + 4y = 2x + -2x + -4y + 4y

Combine like terms: 2x + -2x = 0
-1k + 4kx + -2x + 4y = 0 + -4y + 4y
-1k + 4kx + -2x + 4y = -4y + 4y

Combine like terms: -4y + 4y = 0
-1k + 4kx + -2x + 4y = 0

The solution to this equation could not be determined.