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

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


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

Reorder the terms:
5x + 2y = 3x(-2 + 4y)
5x + 2y = (-2 * 3x + 4y * 3x)
5x + 2y = (-6x + 12xy)

Solving
5x + 2y = -6x + 12xy

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
5x + 6x + 2y = -6x + 6x + 12xy

Combine like terms: 5x + 6x = 11x
11x + 2y = -6x + 6x + 12xy

Combine like terms: -6x + 6x = 0
11x + 2y = 0 + 12xy
11x + 2y = 12xy

Add '-12xy' to each side of the equation.
11x + -12xy + 2y = 12xy + -12xy

Combine like terms: 12xy + -12xy = 0
11x + -12xy + 2y = 0

Add '-2y' to each side of the equation.
11x + -12xy + 2y + -2y = 0 + -2y

Combine like terms: 2y + -2y = 0
11x + -12xy + 0 = 0 + -2y
11x + -12xy = 0 + -2y
Remove the zero:
11x + -12xy = -2y

Combine like terms: -2y + 2y = 0
11x + -12xy + 2y = 0

The solution to this equation could not be determined.

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