Certainly! Let's solve the equation step by step:
Given the equation:
[tex]\[ 3x - 3 = 15 \][/tex]
1. Add 3 to both sides:
[tex]\[ 3x - 3 + 3 = 15 + 3 \][/tex]
Simplifying this, we get:
[tex]\[ 3x = 18 \][/tex]
2. Divide both sides by 3 to isolate [tex]\( x \)[/tex]:
[tex]\[ \frac{3x}{3} = \frac{18}{3} \][/tex]
Simplifying this, we get:
[tex]\[ x = 6 \][/tex]
Thus, the solution to the equation is:
[tex]\[ x = 6 \][/tex]
Therefore, the correct answer is:
D. [tex]\( x = 6 \)[/tex]