6x+7y=8x-4y

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Solution for 6x+7y=8x-4y equation:


Simplifying
6x + 7y = 8x + -4y

Solving
6x + 7y = 8x + -4y

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
6x + -8x + 7y = 8x + -8x + -4y

Combine like terms: 6x + -8x = -2x
-2x + 7y = 8x + -8x + -4y

Combine like terms: 8x + -8x = 0
-2x + 7y = 0 + -4y
-2x + 7y = -4y

Add '-7y' to each side of the equation.
-2x + 7y + -7y = -4y + -7y

Combine like terms: 7y + -7y = 0
-2x + 0 = -4y + -7y
-2x = -4y + -7y

Combine like terms: -4y + -7y = -11y
-2x = -11y

Divide each side by '-2'.
x = 5.5y

Simplifying
x = 5.5y

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