5(y-x)=2x

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Solution for 5(y-x)=2x equation:


Simplifying
5(y + -1x) = 2x

Reorder the terms:
5(-1x + y) = 2x
(-1x * 5 + y * 5) = 2x
(-5x + 5y) = 2x

Solving
-5x + 5y = 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-5x + -2x + 5y = 2x + -2x

Combine like terms: -5x + -2x = -7x
-7x + 5y = 2x + -2x

Combine like terms: 2x + -2x = 0
-7x + 5y = 0

Add '-5y' to each side of the equation.
-7x + 5y + -5y = 0 + -5y

Combine like terms: 5y + -5y = 0
-7x + 0 = 0 + -5y
-7x = 0 + -5y
Remove the zero:
-7x = -5y

Divide each side by '-7'.
x = 0.7142857143y

Simplifying
x = 0.7142857143y

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