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.