(y-3)x+4(y-5)=3x

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Solution for (y-3)x+4(y-5)=3x equation:


Simplifying
(y + -3) * x + 4(y + -5) = 3x

Reorder the terms:
(-3 + y) * x + 4(y + -5) = 3x

Reorder the terms for easier multiplication:
x(-3 + y) + 4(y + -5) = 3x
(-3 * x + y * x) + 4(y + -5) = 3x
(-3x + xy) + 4(y + -5) = 3x

Reorder the terms:
-3x + xy + 4(-5 + y) = 3x
-3x + xy + (-5 * 4 + y * 4) = 3x
-3x + xy + (-20 + 4y) = 3x

Reorder the terms:
-20 + -3x + xy + 4y = 3x

Solving
-20 + -3x + xy + 4y = 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-20 + -3x + xy + -3x + 4y = 3x + -3x

Reorder the terms:
-20 + -3x + -3x + xy + 4y = 3x + -3x

Combine like terms: -3x + -3x = -6x
-20 + -6x + xy + 4y = 3x + -3x

Combine like terms: 3x + -3x = 0
-20 + -6x + xy + 4y = 0

Add '20' to each side of the equation.
-20 + -6x + xy + 20 + 4y = 0 + 20

Reorder the terms:
-20 + 20 + -6x + xy + 4y = 0 + 20

Combine like terms: -20 + 20 = 0
0 + -6x + xy + 4y = 0 + 20
-6x + xy + 4y = 0 + 20

Combine like terms: 0 + 20 = 20
-6x + xy + 4y = 20

Add '-4y' to each side of the equation.
-6x + xy + 4y + -4y = 20 + -4y

Combine like terms: 4y + -4y = 0
-6x + xy + 0 = 20 + -4y
-6x + xy = 20 + -4y

Reorder the terms:
-20 + -6x + xy + 4y = 20 + -4y + -20 + 4y

Reorder the terms:
-20 + -6x + xy + 4y = 20 + -20 + -4y + 4y

Combine like terms: 20 + -20 = 0
-20 + -6x + xy + 4y = 0 + -4y + 4y
-20 + -6x + xy + 4y = -4y + 4y

Combine like terms: -4y + 4y = 0
-20 + -6x + xy + 4y = 0

The solution to this equation could not be determined.

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