Since we know that both sides are equation to each other, set them equal to each other like this:
2x = 3x - 5
Add 5 to both sides because whatever you do on one side you would always have to do it on the other,
2x + 5 = 3x
Subtract 2x
5 = x
The value of x is 5
Checking your work, just plug five into the equations for the x values
2(5) = 3(5) - 5
10 = 10
This means that 5 = x