5x+3y=2x-6y

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Solution for 5x+3y=2x-6y equation:


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

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

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

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

Combine like terms: 2x + -2x = 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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