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

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


Simplifying
5(x + -2y) = 2x + y
(x * 5 + -2y * 5) = 2x + y
(5x + -10y) = 2x + y

Solving
5x + -10y = 2x + y

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 + -10y = 2x + -2x + y

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

Combine like terms: 2x + -2x = 0
3x + -10y = 0 + y
3x + -10y = y

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

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

Combine like terms: y + 10y = 11y
3x = 11y

Divide each side by '3'.
x = 3.666666667y

Simplifying
x = 3.666666667y

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