2(2y-3x)=6x+3y

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Solution for 2(2y-3x)=6x+3y equation:


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

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

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

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

Combine like terms: -6x + -6x = -12x
-12x + 4y = 6x + -6x + 3y

Combine like terms: 6x + -6x = 0
-12x + 4y = 0 + 3y
-12x + 4y = 3y

Add '-4y' to each side of the equation.
-12x + 4y + -4y = 3y + -4y

Combine like terms: 4y + -4y = 0
-12x + 0 = 3y + -4y
-12x = 3y + -4y

Combine like terms: 3y + -4y = -1y
-12x = -1y

Divide each side by '-12'.
x = 0.08333333333y

Simplifying
x = 0.08333333333y

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