So we need to solve the following equation:
[tex]3x-5=10[/tex]Since it's an equation we can perform the same operation at both sides for example adding 5:
[tex]\begin{gathered} 3x-5=10 \\ 3x-5+5=10+5 \\ 3x=15 \end{gathered}[/tex]And we can divide each side by 3:
[tex]\begin{gathered} 3x=15 \\ \frac{3x}{3}=\frac{15}{3} \\ x=5 \end{gathered}[/tex]So the solution is x=5.