2x+3y=5y+4x

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


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

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

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

Solving for variable 'x'.

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

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

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

Combine like terms: 4x + -4x = 0
-2x + 3y = 0 + 5y
-2x + 3y = 5y

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

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

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

Divide each side by '-2'.
x = -1y

Simplifying
x = -1y

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