The error is in line 3.
Specifically, the error is when the student went from [tex]\sqrt{9}[/tex] to simply [tex]9[/tex] without a square root over top. The [tex]\sqrt{9}[/tex] should simplify to 3.
Here's what the student should have done in terms of a step-by-step picture.
[tex]\underline{\text{Line 1:}} \ \ \ 2\sqrt{45}-3\sqrt{5}\\\\\underline{\text{Line 2:}} \ \ \ 2\sqrt{9}*\sqrt{5}-3\sqrt{5}\\\\\underline{\text{Line 3:}} \ \ \ 2*3*\sqrt{5}-3\sqrt{5}\\\\\underline{\text{Line 4:}} \ \ \ 6\sqrt{5}-3\sqrt{5}\\\\\underline{\text{Line 5:}} \ \ \ 3\sqrt{5}\\\\[/tex]
The simplified final answer is [tex]3\sqrt{5}[/tex]