Solve for x 2x+2y=4y+x

$2 x + 2 y = 4 y + x$

Move all terms containing $x$ to the left side of the equation.

Subtract $x$ from both sides of the equation.

$2 x + 2 y - x = 4 y$

Subtract $x$ from $2 x$ .

$x + 2 y = 4 y$

Move all terms not containing $x$ to the right side of the equation.

Subtract $2 y$ from both sides of the equation.

$x = 4 y - 2 y$

Subtract $2 y$ from $4 y$ .

$x = 2 y$