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

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


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

Reorder the terms:
5(-3 + x) = y(4 + -3x)
(-3 * 5 + x * 5) = y(4 + -3x)
(-15 + 5x) = y(4 + -3x)
-15 + 5x = (4 * y + -3x * y)

Reorder the terms:
-15 + 5x = (-3xy + 4y)
-15 + 5x = (-3xy + 4y)

Solving
-15 + 5x = -3xy + 4y

Solving for variable 'x'.

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

Add '3xy' to each side of the equation.
-15 + 5x + 3xy = -3xy + 3xy + 4y

Combine like terms: -3xy + 3xy = 0
-15 + 5x + 3xy = 0 + 4y
-15 + 5x + 3xy = 4y

Add '15' to each side of the equation.
-15 + 5x + 15 + 3xy = 15 + 4y

Reorder the terms:
-15 + 15 + 5x + 3xy = 15 + 4y

Combine like terms: -15 + 15 = 0
0 + 5x + 3xy = 15 + 4y
5x + 3xy = 15 + 4y

Reorder the terms:
-15 + 5x + 3xy + -4y = 15 + 4y + -15 + -4y

Reorder the terms:
-15 + 5x + 3xy + -4y = 15 + -15 + 4y + -4y

Combine like terms: 15 + -15 = 0
-15 + 5x + 3xy + -4y = 0 + 4y + -4y
-15 + 5x + 3xy + -4y = 4y + -4y

Combine like terms: 4y + -4y = 0
-15 + 5x + 3xy + -4y = 0

The solution to this equation could not be determined.

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