Given the equation of the line:
[tex]y=2x-6[/tex]
You need to remember that, by definition, the value of "y" is zero when the line intersects the x-axis.
Therefore, in order to find the x-intercept using the equation of the line, you need to substitute this value of "y" into the equation:
[tex]y=0[/tex]
Then:
[tex]0=2x-6[/tex]
Now you have to solve for "x":
[tex]\begin{gathered} 6=2x \\ \\ \frac{6}{2}=x \\ \\ x=3 \end{gathered}[/tex]
Hence, the answer is:
[tex]x=3[/tex]
