In order to find the value of x in this equation, first we need to expand the product in the left side:
![2x-8=7-3x](https://img.qammunity.org/2023/formulas/mathematics/college/azuxh62v77skt3ges8huq089vfhek1sodh.png)
Then, we isolate all terms with the variable in one side of the equation:
![\begin{gathered} 2x+3x=7+8 \\ 5x=15 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/ig9o1uaehyxcjao3d66sjk7hzzzcw6paco.png)
Finally, we divide both sides by the number multiplying the variable:
![\begin{gathered} (5x)/(5)=(15)/(5) \\ x=3 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/uxl7j960d1halut9nv4l9vebwhfm7ae9b7.png)
So we have that x = 3