To solve the equation [tex]\(\frac{x}{6} = 20\)[/tex], we can follow these steps:
1. We start with the equation:
[tex]\[
\frac{x}{6} = 20
\][/tex]
2. To isolate [tex]\(x\)[/tex], we need to get rid of the division by 6. We can do this by multiplying both sides of the equation by 6. This will cancel out the division on the left side:
[tex]\[
6 \times \left(\frac{x}{6}\right) = 20 \times 6
\][/tex]
3. Simplifying both sides, we have:
[tex]\[
x = 120
\][/tex]
Therefore, the value of [tex]\(x\)[/tex] is [tex]\(120\)[/tex].
So, the correct answer is:
C. [tex]\(x = 120\)[/tex]
