To solve the equation [tex]\( x + (-3) = 0 \)[/tex] for [tex]\( x \)[/tex], we need to isolate [tex]\( x \)[/tex]. Here are the steps in detail to achieve that:
1. Start with the given equation:
[tex]\[
x + (-3) = 0
\][/tex]
2. To isolate [tex]\( x \)[/tex], we need to get rid of the [tex]\(-3\)[/tex] that's added to [tex]\( x \)[/tex]. We can do this by adding 3 to both sides of the equation:
[tex]\[
x + (-3) + 3 = 0 + 3
\][/tex]
This simplifies to:
[tex]\[
x = 3
\][/tex]
So, the correct boxes to complete would be:
[tex]\[
x + (-3) + \boxed{3} = 0 + \boxed{3}
\][/tex]
Therefore, the first step is to add 3 to both sides of the equation to isolate [tex]\( x \)[/tex].