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

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


Simplifying
2(x + y) + 3(x + y) + -2(x + -1y) = 0
(x * 2 + y * 2) + 3(x + y) + -2(x + -1y) = 0
(2x + 2y) + 3(x + y) + -2(x + -1y) = 0
2x + 2y + (x * 3 + y * 3) + -2(x + -1y) = 0
2x + 2y + (3x + 3y) + -2(x + -1y) = 0
2x + 2y + 3x + 3y + (x * -2 + -1y * -2) = 0
2x + 2y + 3x + 3y + (-2x + 2y) = 0

Reorder the terms:
2x + 3x + -2x + 2y + 3y + 2y = 0

Combine like terms: 2x + 3x = 5x
5x + -2x + 2y + 3y + 2y = 0

Combine like terms: 5x + -2x = 3x
3x + 2y + 3y + 2y = 0

Combine like terms: 2y + 3y = 5y
3x + 5y + 2y = 0

Combine like terms: 5y + 2y = 7y
3x + 7y = 0

Solving
3x + 7y = 0

Solving for variable 'x'.

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

Add '-7y' to each side of the equation.
3x + 7y + -7y = 0 + -7y

Combine like terms: 7y + -7y = 0
3x + 0 = 0 + -7y
3x = 0 + -7y
Remove the zero:
3x = -7y

Divide each side by '3'.
x = -2.333333333y

Simplifying
x = -2.333333333y

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