3y-x=5x

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Solution for 3y-x=5x equation:


Simplifying
3y + -1x = 5x

Reorder the terms:
-1x + 3y = 5x

Solving
-1x + 3y = 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.
-1x + -5x + 3y = 5x + -5x

Combine like terms: -1x + -5x = -6x
-6x + 3y = 5x + -5x

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

Add '-3y' to each side of the equation.
-6x + 3y + -3y = 0 + -3y

Combine like terms: 3y + -3y = 0
-6x + 0 = 0 + -3y
-6x = 0 + -3y
Remove the zero:
-6x = -3y

Divide each side by '-6'.
x = 0.5y

Simplifying
x = 0.5y

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