3y+6x=5y-4x

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


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

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

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

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

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

Combine like terms: 6x + 4x = 10x
10x + 3y = -4x + 4x + 5y

Combine like terms: -4x + 4x = 0
10x + 3y = 0 + 5y
10x + 3y = 5y

Add '-3y' to each side of the equation.
10x + 3y + -3y = 5y + -3y

Combine like terms: 3y + -3y = 0
10x + 0 = 5y + -3y
10x = 5y + -3y

Combine like terms: 5y + -3y = 2y
10x = 2y

Divide each side by '10'.
x = 0.2y

Simplifying
x = 0.2y

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