6x-3y-(3x-7y)=0

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Solution for 6x-3y-(3x-7y)=0 equation:


Simplifying
6x + -3y + -1(3x + -7y) = 0
6x + -3y + (3x * -1 + -7y * -1) = 0
6x + -3y + (-3x + 7y) = 0

Reorder the terms:
6x + -3x + -3y + 7y = 0

Combine like terms: 6x + -3x = 3x
3x + -3y + 7y = 0

Combine like terms: -3y + 7y = 4y
3x + 4y = 0

Solving
3x + 4y = 0

Solving for variable 'x'.

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

Add '-4y' to each side of the equation.
3x + 4y + -4y = 0 + -4y

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

Divide each side by '3'.
x = -1.333333333y

Simplifying
x = -1.333333333y

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