To solve the equation [tex]\( x - 9 = 17 \)[/tex], we need to isolate the variable [tex]\( x \)[/tex]. Here are the steps to do that:
1. Understand the equation: We are given [tex]\( x - 9 = 17 \)[/tex]. Our goal is to find the value of [tex]\( x \)[/tex] that makes this equation true.
2. Isolate [tex]\( x \)[/tex]: We need to get [tex]\( x \)[/tex] by itself on one side of the equation. To do this, we can add 9 to both sides of the equation. This will cancel out the -9 on the left side.
[tex]\[
x - 9 + 9 = 17 + 9
\][/tex]
3. Simplify both sides:
[tex]\[
x = 26
\][/tex]
So, the solution to the equation [tex]\( x - 9 = 17 \)[/tex] is [tex]\( x = 26 \)[/tex]. Therefore, the correct option is:
A. [tex]\( x = 26 \)[/tex]
