Is this possible?

3x-2>2x-5

subtract 2x from both sides

x-2>-5

add 2 to both sides

x>-3

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2+x>2x+3

subtract x from both sides

2>x+3

subtract 3 from both sides

-1>x

swap sides but remember that if you swap sides you have to turn the inequality around

x<-1

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Now if you want the union of these.  That is where either one or the other is true that would be all real x

If you want the intersection of these.  Where they are both true then the answer is     -3 < x < -1