Use the image to answer the question.

Question

A number line with arrows at both ends is shown with tick marks ranging from negative 15 to 5 in 1 unit increments, but labeled at 5 unit increments. Closed circles are plotted at negative 15, negative 11, negative 7, negative 1, 1, and 4.

Identify the solution to the equation x−3=−10
from the number line.

(1 point)

Answer 1

To solve the equation \( x - 3 = -10 \), we need to isolate \( x \). We can do this by adding 3 to both sides of the equation:

\[ x - 3 + 3 = -10 + 3 \]

This simplifies to:

\[ x = -7 \]

Now, looking at the number line described, a closed circle is plotted at negative 7. Therefore, the solution to the equation \( x - 3 = -10 \) is represented by the point \(-7\) on the number line.