5(x-4)=3y(3-2x)

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Solution for 5(x-4)=3y(3-2x) equation:


Simplifying
5(x + -4) = 3y(3 + -2x)

Reorder the terms:
5(-4 + x) = 3y(3 + -2x)
(-4 * 5 + x * 5) = 3y(3 + -2x)
(-20 + 5x) = 3y(3 + -2x)
-20 + 5x = (3 * 3y + -2x * 3y)

Reorder the terms:
-20 + 5x = (-6xy + 9y)
-20 + 5x = (-6xy + 9y)

Solving
-20 + 5x = -6xy + 9y

Solving for variable 'x'.

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

Add '6xy' to each side of the equation.
-20 + 5x + 6xy = -6xy + 6xy + 9y

Combine like terms: -6xy + 6xy = 0
-20 + 5x + 6xy = 0 + 9y
-20 + 5x + 6xy = 9y

Add '20' to each side of the equation.
-20 + 5x + 20 + 6xy = 20 + 9y

Reorder the terms:
-20 + 20 + 5x + 6xy = 20 + 9y

Combine like terms: -20 + 20 = 0
0 + 5x + 6xy = 20 + 9y
5x + 6xy = 20 + 9y

Reorder the terms:
-20 + 5x + 6xy + -9y = 20 + 9y + -20 + -9y

Reorder the terms:
-20 + 5x + 6xy + -9y = 20 + -20 + 9y + -9y

Combine like terms: 20 + -20 = 0
-20 + 5x + 6xy + -9y = 0 + 9y + -9y
-20 + 5x + 6xy + -9y = 9y + -9y

Combine like terms: 9y + -9y = 0
-20 + 5x + 6xy + -9y = 0

The solution to this equation could not be determined.

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