6x+2y=4x-3y

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Solution for 6x+2y=4x-3y equation:


Simplifying
6x + 2y = 4x + -3y

Solving
6x + 2y = 4x + -3y

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.
6x + -4x + 2y = 4x + -4x + -3y

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

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

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

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

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

Divide each side by '2'.
x = -2.5y

Simplifying
x = -2.5y

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