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

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


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

Combine like terms: -2y + -4y = -6y
2x + 3y = 5x + -6y

Solving
2x + 3y = 5x + -6y

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.
2x + -5x + 3y = 5x + -5x + -6y

Combine like terms: 2x + -5x = -3x
-3x + 3y = 5x + -5x + -6y

Combine like terms: 5x + -5x = 0
-3x + 3y = 0 + -6y
-3x + 3y = -6y

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

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

Combine like terms: -6y + -3y = -9y
-3x = -9y

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

Simplifying
x = 3y

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