4y+x=2x+2y

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


Simplifying
4y + x = 2x + 2y

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

Solving
x + 4y = 2x + 2y

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.
x + -2x + 4y = 2x + -2x + 2y

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

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

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

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

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

Divide each side by '-1'.
x = 2y

Simplifying
x = 2y

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