Rewrite the equation 2x+4y+2=3y+5 in general form.

A.2x+y-3=0 C.2x+y=3
B.y=-2x+3 D.2x+7y+7=0

B. y=-2x+3 because:

2x+4y+2=3y+5
2x+4y-3y+2=3y-3y +5
2x-2x+ y+2=-2x+5
y+2-2=-2x+5-2
y=-2x+3

To rewrite the equation 2x + 4y + 2 = 3y + 5 in general form, we need to rearrange the terms so that all the variables are on one side of the equation and the constant term is on the other side.

First, let's gather the terms with the variable y on the left side by subtracting 3y from both sides:

2x + 4y - 3y + 2 = 5

This simplifies to:

2x + y + 2 = 5

Next, move the constant term (2) to the right side by subtracting 2 from both sides:

2x + y + 2 - 2 = 5 - 2

This simplifies to:

2x + y = 3

Therefore, the equation 2x + 4y + 2 = 3y + 5 can be rewritten in general form as 2x + y = 3.

So the correct answer is C. 2x + y = 3.