Certainly! Let's solve the equation step by step.
Given the equation:
[tex]\[ 9 - \frac{x}{6} = 48 \][/tex]
1. Isolate the term containing [tex]\( x \)[/tex]:
First, we need to isolate the term [tex]\(-\frac{x}{6}\)[/tex] by moving the constant term (which is 9) to the right side of the equation. We do this by subtracting 9 from both sides:
[tex]\[ 9 - \frac{x}{6} - 9 = 48 - 9 \][/tex]
Simplifying the equation, we get:
[tex]\[ -\frac{x}{6} = 39 \][/tex]
2. Eliminate the negative sign and the fraction:
To solve for [tex]\( x \)[/tex], we need to eliminate the fraction. We can do this by multiplying both sides of the equation by -6 (since the term is [tex]\(-\frac{x}{6}\)[/tex]):
[tex]\[ -6 \cdot \left( -\frac{x}{6} \right) = 39 \cdot -6 \][/tex]
Simplifying, we get:
[tex]\[ x = 39 \cdot -6 \][/tex]
3. Multiply the numbers:
Now we simply perform the multiplication:
[tex]\[ 39 \times -6 = -234 \][/tex]
So, the solution to the equation:
[tex]\[ 9 - \frac{x}{6} = 48 \][/tex]
is:
[tex]\[ x = -234 \][/tex]
