10x+2y=4y+x

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Solution for 10x+2y=4y+x equation:


Simplifying
10x + 2y = 4y + x

Reorder the terms:
10x + 2y = x + 4y

Solving
10x + 2y = x + 4y

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
10x + -1x + 2y = x + -1x + 4y

Combine like terms: 10x + -1x = 9x
9x + 2y = x + -1x + 4y

Combine like terms: x + -1x = 0
9x + 2y = 0 + 4y
9x + 2y = 4y

Add '-2y' to each side of the equation.
9x + 2y + -2y = 4y + -2y

Combine like terms: 2y + -2y = 0
9x + 0 = 4y + -2y
9x = 4y + -2y

Combine like terms: 4y + -2y = 2y
9x = 2y

Divide each side by '9'.
x = 0.2222222222y

Simplifying
x = 0.2222222222y

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