xy+(2x+3)=2x+3y(1-x)

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Solution for xy+(2x+3)=2x+3y(1-x) equation:


Simplifying
xy + (2x + 3) = 2x + 3y(1 + -1x)

Reorder the terms:
xy + (3 + 2x) = 2x + 3y(1 + -1x)

Remove parenthesis around (3 + 2x)
xy + 3 + 2x = 2x + 3y(1 + -1x)

Reorder the terms:
3 + 2x + xy = 2x + 3y(1 + -1x)
3 + 2x + xy = 2x + (1 * 3y + -1x * 3y)

Reorder the terms:
3 + 2x + xy = 2x + (-3xy + 3y)
3 + 2x + xy = 2x + (-3xy + 3y)

Add '-2x' to each side of the equation.
3 + 2x + -2x + xy = 2x + -3xy + -2x + 3y

Combine like terms: 2x + -2x = 0
3 + 0 + xy = 2x + -3xy + -2x + 3y
3 + xy = 2x + -3xy + -2x + 3y

Reorder the terms:
3 + xy = 2x + -2x + -3xy + 3y

Combine like terms: 2x + -2x = 0
3 + xy = 0 + -3xy + 3y
3 + xy = -3xy + 3y

Solving
3 + xy = -3xy + 3y

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.
3 + xy + 3xy = -3xy + 3xy + 3y

Combine like terms: xy + 3xy = 4xy
3 + 4xy = -3xy + 3xy + 3y

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

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

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

Divide each side by '4y'.
x = -0.75y-1 + 0.75

Simplifying
x = -0.75y-1 + 0.75

Reorder the terms:
x = 0.75 + -0.75y-1

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