(10x-4y)=(2x+y)

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Solution for (10x-4y)=(2x+y) equation:


Simplifying
(10x + -4y) = (2x + y)

Remove parenthesis around (10x + -4y)
10x + -4y = (2x + y)

Remove parenthesis around (2x + y)
10x + -4y = 2x + y

Solving
10x + -4y = 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 + -4y = 2x + -2x + y

Combine like terms: 10x + -2x = 8x
8x + -4y = 2x + -2x + y

Combine like terms: 2x + -2x = 0
8x + -4y = 0 + y
8x + -4y = y

Add '4y' to each side of the equation.
8x + -4y + 4y = y + 4y

Combine like terms: -4y + 4y = 0
8x + 0 = y + 4y
8x = y + 4y

Combine like terms: y + 4y = 5y
8x = 5y

Divide each side by '8'.
x = 0.625y

Simplifying
x = 0.625y

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