Explanation:
First we have to add 3x on both sides of the equation:
[tex]\begin{gathered} 2x-5+3x=-3x+3x+15 \\ 5x-5=15 \end{gathered}[/tex]Now add 5 on both sides:
[tex]\begin{gathered} 5x-5+5=15+5 \\ 5x=20 \end{gathered}[/tex]And finally divide both sides by 5:
[tex]\begin{gathered} \frac{5x}{5}=\frac{20}{5} \\ x=4 \end{gathered}[/tex]Answer:
x = 5