What is the solution to this equation?

[tex]\[ 2x + 2 = 10 \][/tex]

A. [tex]\[ x = 4 \][/tex]
B. [tex]\[ x = 6 \][/tex]
C. [tex]\[ x = 16 \][/tex]
D. [tex]\[ x = 24 \][/tex]



Answer :

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]