Certainly! To solve the equation [tex]\(\frac{x}{6} = 11\)[/tex] for the variable [tex]\(x\)[/tex], we follow these steps:
1. Understanding the Equation: The given equation is a simple linear equation where [tex]\(x\)[/tex] is divided by 6 and the result is 11.
2. Isolate the Variable: Our goal is to isolate [tex]\(x\)[/tex]. Since [tex]\(x\)[/tex] is currently divided by 6, we can move 6 to the other side of the equation by multiplying both sides by 6. This step will help cancel out the division on the left side.
[tex]\[
\frac{x}{6} \times 6 = 11 \times 6
\][/tex]
3. Simplification: When we multiply [tex]\(\frac{x}{6}\)[/tex] by 6, the 6s on the left side cancel each other out, leaving us with [tex]\(x\)[/tex]. On the right side, we just perform the multiplication.
[tex]\[
x = 11 \times 6
\][/tex]
4. Perform the Multiplication: Multiply 11 by 6 to find the value of [tex]\(x\)[/tex].
[tex]\[
11 \times 6 = 66
\][/tex]
5. Conclusion: Thus, the value of [tex]\(x\)[/tex] is:
[tex]\[
x = 66
\][/tex]
