To solve the equation [tex]\(3x - 6 = 9\)[/tex], follow these steps:
1. Add 6 to both sides to isolate the term with [tex]\(x\)[/tex] on one side:
[tex]\[
3x - 6 + 6 = 9 + 6
\][/tex]
Simplifying both sides gives:
[tex]\[
3x = 15
\][/tex]
2. Divide both sides by 3 to solve for [tex]\(x\)[/tex]:
[tex]\[
\frac{3x}{3} = \frac{15}{3}
\][/tex]
Simplifying this gives:
[tex]\[
x = 5
\][/tex]
Therefore, the solution to the equation [tex]\(3x - 6 = 9\)[/tex] is [tex]\(x = 5\)[/tex].
Among the given options:
- A. [tex]\(x = -5\)[/tex]
- B. [tex]\(x = 1\)[/tex]
- C. [tex]\(x = 5\)[/tex]
The correct answer is:
C. [tex]\(x = 5\)[/tex]
