3y-4x=5x+6

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Solution for 3y-4x=5x+6 equation:


Simplifying
3y + -4x = 5x + 6

Reorder the terms:
-4x + 3y = 5x + 6

Reorder the terms:
-4x + 3y = 6 + 5x

Solving
-4x + 3y = 6 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-4x + -5x + 3y = 6 + 5x + -5x

Combine like terms: -4x + -5x = -9x
-9x + 3y = 6 + 5x + -5x

Combine like terms: 5x + -5x = 0
-9x + 3y = 6 + 0
-9x + 3y = 6

Add '-3y' to each side of the equation.
-9x + 3y + -3y = 6 + -3y

Combine like terms: 3y + -3y = 0
-9x + 0 = 6 + -3y
-9x = 6 + -3y

Divide each side by '-9'.
x = -0.6666666667 + 0.3333333333y

Simplifying
x = -0.6666666667 + 0.3333333333y

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