10(x-y)=2x+y

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Solution for 10(x-y)=2x+y equation:


Simplifying
10(x + -1y) = 2x + y
(x * 10 + -1y * 10) = 2x + y
(10x + -10y) = 2x + y

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

Combine like terms: 10x + -2x = 8x
8x + -10y = 2x + -2x + y

Combine like terms: 2x + -2x = 0
8x + -10y = 0 + y
8x + -10y = y

Add '10y' to each side of the equation.
8x + -10y + 10y = y + 10y

Combine like terms: -10y + 10y = 0
8x + 0 = y + 10y
8x = y + 10y

Combine like terms: y + 10y = 11y
8x = 11y

Divide each side by '8'.
x = 1.375y

Simplifying
x = 1.375y

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