Let's do this step by step.
  
 5x+6=2x+15
  
 Ok, first, subtract 2x from each side so that all xs of the problem are on one side.
  
 5x-2x=3x
  
 2x-2x=0
  
 Now, we have...
  
 3x+6=15
  
 Next, we'll subtract 6 from each side to do the same thing.
  
 6-6=0
  
 15-6=9
  
 Now, we have...
  
 3x=9
  
 Then, divide by 3 on each side to make the left side x.
  
 3x/3=x
  
 9/3=3
  
 In conclusion, x=3.