7x+3y=4x-3y

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Solution for 7x+3y=4x-3y equation:


Simplifying
7x + 3y = 4x + -3y

Solving
7x + 3y = 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.
7x + -4x + 3y = 4x + -4x + -3y

Combine like terms: 7x + -4x = 3x
3x + 3y = 4x + -4x + -3y

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

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

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

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

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

Simplifying
x = -2y

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