-1/4(x+2)+5=-x what does x equal?

x = -6

Step-by-step explanation:

-1/4(x + 2) + 5 = -x

-1/4x - 1/2 + 5 = -x

-1/4x + 9/2 = -x

-1/4x + x + 9/2 - 9/2 = -x + x - 9/2

3x/4 = - 9/2

(3x/4) * 4 = (-9/2) * 4

3x = - 18

3x/3 = - 18/3

x = -6

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.