How can I make these two plots symetric and same size including labels?

Question

How can I make the content inside these two images are aligned and the region outside of the plots are also same?
I don't want to combine two images together. I want to make them having the same size and symmetric so they look good when I insert they somewhere (not necessary on the same table).

plot1 = Plot[x, {x, 1, 3.0001}, GridLines -> {Range[3], Range[3]}, 
 Frame -> {{True, True}, {True, False}},
 FrameTicks -> {Range[1, 3, 1], Range[0, 3, 1]},
 Frame -> {{True, False}, {True, False}},
 FrameLabel -> {x, y},
 ImageSize -> 300, PlotRangePadding -> None]
plot2 =Plot[-x, {x, -2.0001, 0}, 
 GridLines -> {Range[-2, 0, 1], Range[0, 2, 1]}, 
 Frame -> {{False, True}, {True, False}},
 FrameTicks -> {Range[-2, 0, 1], Range[0, 2, 1]}, 
 Frame -> {{False, True}, {True, False}},
 FrameLabel -> {{False, y}, {x, False}},
 ImageSize -> 300, PlotRangePadding -> None]

Assume that I export them as PNG or PDF and insert into word or LaTeX.

Export["plot1.png", plot1];
Export["plot2.png", plot2];

As you can see here the frame axes are misaligned. I want to make them aligned. In this case the misalignment doesn't look too bad but in some cases it become worse.

Answer 1

If I understand you right, the problem is that because the label "y" is on the right side of the second plot, it is displaced horizontally to the left. Is that right? If yes, I can propose a simple workaround. Combine the second plot with the Spacer using Row. Play with the space size. My filling that 15 is OK:

plot1 = Plot[x, {x, 1, 3.0001}, GridLines -> {Range[3], Range[3]}, 
  Frame -> {{True, True}, {True, False}}, 
  FrameTicks -> {Range[1, 3, 1], Range[0, 3, 1]}, 
  Frame -> {{True, False}, {True, False}}, FrameLabel -> {x, y}, 
  ImageSize -> 300, PlotRangePadding -> None]
plot2 = Row[{Spacer[15], 
   Plot[-x, {x, -2.0001, 0}, 
    GridLines -> {Range[-2, 0, 1], Range[0, 2, 1]}, 
    Frame -> {{False, True}, {True, False}}, 
    FrameTicks -> {Range[-2, 0, 1], Range[0, 2, 1]}, 
    Frame -> {{False, True}, {True, False}}, 
    FrameLabel -> {{False, y}, {x, False}}, ImageSize -> 300, 
    PlotRangePadding -> None]
   }]

returning the following:

A later edit:

OK, I understand your sequence of actions and repeated it with plot1 and plot2 from my answer. Here is the result, provided I insert is into the Word file.

Please note that in the Word document, you can adjust the images individually, so the problem is not that accute.

In the tex file (which I then show as the pdf one) it looks as follows:

I achieved that with the spacer value equal to 40. So, I do not see what does not fit your requirements.

I hope it helps. Have fun!