The given equation is
[tex]2x-y=6[/tex]To find the x-intercept, we have to evaluate the equation when y = 0.
[tex]\begin{gathered} 2x-y=6 \\ 2x-0=6 \\ 2x=6 \end{gathered}[/tex]Divide each side by 2
[tex]\begin{gathered} \frac{2x}{2}=\frac{6}{2} \\ x=3 \end{gathered}[/tex]As you can observe, the x-intercept is 3.