(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

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 = 0
-20 + 0 + xY + 4y = -3x + 3x
-20 + xY + 4y = -3x + 3x

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

Solving
-20 + xY + 4y = 0

Solving for variable 'x'.

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

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

Reorder the terms:
-20 + 20 + xY + 4y = 0 + 20

Combine like terms: -20 + 20 = 0
0 + xY + 4y = 0 + 20
xY + 4y = 0 + 20

Combine like terms: 0 + 20 = 20
xY + 4y = 20

Add '-4y' to each side of the equation.
xY + 4y + -4y = 20 + -4y

Combine like terms: 4y + -4y = 0
xY + 0 = 20 + -4y
xY = 20 + -4y

Divide each side by 'Y'.
x = 20Y-1 + -4yY-1

Simplifying
x = 20Y-1 + -4yY-1

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