What is the solution for \( x \) in the equation \( 5x - 10 = 0 \)?

To solve the equation ( 5x - 10 = 0 ), the goal is to isolate ( x ).

First, add 10 to both sides of the equation to begin moving terms around:

[

5x - 10 + 10 = 0 + 10

]

This simplifies to:

[

5x = 10

]

Next, to solve for ( x ), divide both sides of the equation by 5:

[

\frac{5x}{5} = \frac{10}{5}

]

This results in:

[

x = 2

]

Thus, the correct solution for ( x ) is 2. This process of isolating ( x ) by performing inverse operations is fundamental in algebra, allowing us to find the solution systematically.