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Solve for x
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2x+2y-x=0
Subtract x from both sides.
x+2y=0
Combine 2x and -x to get x.
x=-2y
Subtract 2y from both sides. Anything subtracted from zero gives its negation.
2y=x-2x
Subtract 2x from both sides.
2y=-x
Combine x and -2x to get -x.
\frac{2y}{2}=-\frac{x}{2}
Divide both sides by 2.
y=-\frac{x}{2}
Dividing by 2 undoes the multiplication by 2.