4x+7y=3x-5y

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Solution for 4x+7y=3x-5y equation:


Simplifying
4x + 7y = 3x + -5y

Solving
4x + 7y = 3x + -5y

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
4x + -3x + 7y = 3x + -3x + -5y

Combine like terms: 4x + -3x = 1x
1x + 7y = 3x + -3x + -5y

Combine like terms: 3x + -3x = 0
1x + 7y = 0 + -5y
1x + 7y = -5y

Add '-7y' to each side of the equation.
1x + 7y + -7y = -5y + -7y

Combine like terms: 7y + -7y = 0
1x + 0 = -5y + -7y
1x = -5y + -7y

Combine like terms: -5y + -7y = -12y
1x = -12y

Divide each side by '1'.
x = -12y

Simplifying
x = -12y

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