we perform the same operation on each side to place the x's on the same side
[tex]\begin{gathered} 17x-17x-10=12x-17x \\ 0x-10=(12-17)x \\ -10=-5x \end{gathered}[/tex][tex]\begin{gathered} \frac{-10}{-5}=\frac{-5x}{-5} \\ 2=x \end{gathered}[/tex]the value of x is 2