2y+3x=5x-4y

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Solution for 2y+3x=5x-4y equation:


Simplifying
2y + 3x = 5x + -4y

Reorder the terms:
3x + 2y = 5x + -4y

Solving
3x + 2y = 5x + -4y

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
3x + -5x + 2y = 5x + -5x + -4y

Combine like terms: 3x + -5x = -2x
-2x + 2y = 5x + -5x + -4y

Combine like terms: 5x + -5x = 0
-2x + 2y = 0 + -4y
-2x + 2y = -4y

Add '-2y' to each side of the equation.
-2x + 2y + -2y = -4y + -2y

Combine like terms: 2y + -2y = 0
-2x + 0 = -4y + -2y
-2x = -4y + -2y

Combine like terms: -4y + -2y = -6y
-2x = -6y

Divide each side by '-2'.
x = 3y

Simplifying
x = 3y

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