To determine the solution to the equation [tex]\(3x - 2 = 7\)[/tex], we will follow these step-by-step instructions:
1. Start with the given equation:
[tex]\[
3x - 2 = 7
\][/tex]
2. Add 2 to both sides of the equation to isolate the term with the variable [tex]\(x\)[/tex]:
[tex]\[
3x - 2 + 2 = 7 + 2
\][/tex]
Simplifying this, we get:
[tex]\[
3x = 9
\][/tex]
3. Next, divide both sides of the equation by 3 to solve for [tex]\(x\)[/tex]:
[tex]\[
\frac{3x}{3} = \frac{9}{3}
\][/tex]
Simplifying this, we get:
[tex]\[
x = 3
\][/tex]
Thus, the solution to the equation [tex]\(3x - 2 = 7\)[/tex] is [tex]\(x = 3\)[/tex].
Therefore, the correct answer choice is:
[tex]\[ \boxed{3} \][/tex]
