Certainly! Let's solve the equation step-by-step to determine the value of [tex]\( x \)[/tex]:
The given equation is:
[tex]\[
2x + 2 = 10
\][/tex]
Step 1: Subtract 2 from both sides of the equation to isolate the term with [tex]\( x \)[/tex] on one side. This gives us:
[tex]\[
2x + 2 - 2 = 10 - 2
\][/tex]
Simplifying this, we have:
[tex]\[
2x = 8
\][/tex]
Step 2: Divide both sides of the equation by 2 to solve for [tex]\( x \)[/tex]:
[tex]\[
\frac{2x}{2} = \frac{8}{2}
\][/tex]
Simplifying this, we get:
[tex]\[
x = 4
\][/tex]
Thus, the solution to the equation [tex]\( 2x + 2 = 10 \)[/tex] is:
[tex]\[
\boxed{x = 4}
\][/tex]
So, the correct choice is:
A. [tex]\( x = 4 \)[/tex]