Let's begin by identifying key information given to us:
[tex]\begin{gathered} x+3=3x-5 \\ \text{Put like terms together, we have:} \\ \text{Subtract ''x'' from both sides, we have:} \\ x-x+3=3x-x-5 \\ 3=2x-5 \\ Add\text{ ''5'' to both sides, we have:} \\ 3+5=2x-5+5 \\ 8=2x\Rightarrow2x=8 \\ 2x=8 \\ \frac{2}{2}x=\frac{8}{2} \\ x=4 \end{gathered}[/tex]