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

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


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

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

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

Solving
-3x + 3y = 2x + 2y

Solving for variable 'x'.

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

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

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

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

Add '-3y' to each side of the equation.
-5x + 3y + -3y = 2y + -3y

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

Combine like terms: 2y + -3y = -1y
-5x = -1y

Divide each side by '-5'.
x = 0.2y

Simplifying
x = 0.2y

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