If 5x - 10 = 0, what is the value of x?

To find the value of ( x ) in the equation ( 5x - 10 = 0 ), you need to isolate ( x ). Here's how to do that step-by-step:

1. Start with the equation:

[

5x - 10 = 0

]

2. Add 10 to both sides to eliminate the -10:

[

5x = 10

]

3. Next, divide both sides by 5 to solve for ( x ):

[

x = \frac{10}{5}

]

4. Simplifying that gives:

[

x = 2

]

The value of ( x ) is 2, which corresponds to the correct choice. This process demonstrates how to isolate a variable in a linear equation by using inverse operations systematically. The other answers do not solve the equation correctly, as substituting them back into the original equation would not satisfy ( 5x - 10 = 0 ).