Answer:
(10,0).
Explanation:
Given the equation of the line:
[tex]-2x+5y=-20[/tex]The x-intercept of the line is the point where the line crosses the x-axis. This occurs when y=0.
When y=0
[tex]\begin{gathered} -2x+5y=-20 \\ -2x+5(0)=-20 \\ -2x=-20 \\ \text{Divide both sides by -2} \\ \frac{-2x}{-2}=\frac{-20}{-2} \\ x=10 \end{gathered}[/tex]The x-intercept of the line is (10,0).