4kx+5y-1=3x-2y+1

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Solution for 4kx+5y-1=3x-2y+1 equation: 


Simplifying
4kx + 5y + -1 = 3x + -2y + 1

Reorder the terms:
-1 + 4kx + 5y = 3x + -2y + 1

Reorder the terms:
-1 + 4kx + 5y = 1 + 3x + -2y

Solving
-1 + 4kx + 5y = 1 + 3x + -2y

Solving for variable 'k'.

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

Add '1' to each side of the equation.
-1 + 4kx + 1 + 5y = 1 + 3x + 1 + -2y

Reorder the terms:
-1 + 1 + 4kx + 5y = 1 + 3x + 1 + -2y

Combine like terms: -1 + 1 = 0
0 + 4kx + 5y = 1 + 3x + 1 + -2y
4kx + 5y = 1 + 3x + 1 + -2y

Reorder the terms:
4kx + 5y = 1 + 1 + 3x + -2y

Combine like terms: 1 + 1 = 2
4kx + 5y = 2 + 3x + -2y

Add '-5y' to each side of the equation.
4kx + 5y + -5y = 2 + 3x + -2y + -5y

Combine like terms: 5y + -5y = 0
4kx + 0 = 2 + 3x + -2y + -5y
4kx = 2 + 3x + -2y + -5y

Combine like terms: -2y + -5y = -7y
4kx = 2 + 3x + -7y

Divide each side by '4x'.
k = 0.5x-1 + 0.75 + -1.75x-1y

Simplifying
k = 0.5x-1 + 0.75 + -1.75x-1y

Reorder the terms:
k = 0.75 + 0.5x-1 + -1.75x-1y

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