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

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


Simplifying
2(3x + -2y) = 3y + 3x
(3x * 2 + -2y * 2) = 3y + 3x
(6x + -4y) = 3y + 3x

Reorder the terms:
6x + -4y = 3x + 3y

Solving
6x + -4y = 3x + 3y

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
6x + -3x + -4y = 3x + -3x + 3y

Combine like terms: 6x + -3x = 3x
3x + -4y = 3x + -3x + 3y

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

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

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

Combine like terms: 3y + 4y = 7y
3x = 7y

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

Simplifying
x = 2.333333333y

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