(3x+4xy+7y)+(2x-6y)-(5x+3xy-2y)=

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Solution for (3x+4xy+7y)+(2x-6y)-(5x+3xy-2y)= equation:


Simplifying
(3x + 4xy + 7y) + (2x + -6y) + -1(5x + 3xy + -2y) = 0

Remove parenthesis around (3x + 4xy + 7y)
3x + 4xy + 7y + (2x + -6y) + -1(5x + 3xy + -2y) = 0

Remove parenthesis around (2x + -6y)
3x + 4xy + 7y + 2x + -6y + -1(5x + 3xy + -2y) = 0
3x + 4xy + 7y + 2x + -6y + (5x * -1 + 3xy * -1 + -2y * -1) = 0
3x + 4xy + 7y + 2x + -6y + (-5x + -3xy + 2y) = 0

Reorder the terms:
3x + 2x + -5x + 4xy + -3xy + 7y + -6y + 2y = 0

Combine like terms: 3x + 2x = 5x
5x + -5x + 4xy + -3xy + 7y + -6y + 2y = 0

Combine like terms: 5x + -5x = 0
0 + 4xy + -3xy + 7y + -6y + 2y = 0
4xy + -3xy + 7y + -6y + 2y = 0

Combine like terms: 4xy + -3xy = 1xy
1xy + 7y + -6y + 2y = 0

Combine like terms: 7y + -6y = 1y
1xy + 1y + 2y = 0

Combine like terms: 1y + 2y = 3y
1xy + 3y = 0

Solving
1xy + 3y = 0

Solving for variable 'x'.

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

Add '-3y' to each side of the equation.
1xy + 3y + -3y = 0 + -3y

Combine like terms: 3y + -3y = 0
1xy + 0 = 0 + -3y
1xy = 0 + -3y
Remove the zero:
1xy = -3y

Divide each side by '1y'.
x = -3

Simplifying
x = -3

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