Certainly! Let's solve the equation step-by-step:
Given equation:
[tex]\[
\frac{x}{6} - 7 = -4
\][/tex]
Step 1: Isolate the term with [tex]\( x \)[/tex]
To isolate the term [tex]\(\frac{x}{6}\)[/tex], we need to get rid of the [tex]\( -7 \)[/tex] on the left-hand side. We can do this by adding 7 to both sides of the equation.
[tex]\[
\frac{x}{6} - 7 + 7 = -4 + 7
\][/tex]
This simplifies to:
[tex]\[
\frac{x}{6} = 3
\][/tex]
Step 2: Solve for [tex]\( x \)[/tex]
To solve for [tex]\( x \)[/tex], we need to eliminate the fraction. Since [tex]\( x \)[/tex] is divided by 6, we can multiply both sides of the equation by 6 to isolate [tex]\( x \)[/tex].
[tex]\[
6 \cdot \frac{x}{6} = 6 \cdot 3
\][/tex]
This simplifies to:
[tex]\[
x = 18
\][/tex]
So, the value of [tex]\( x \)[/tex] that makes this equation true is:
[tex]\[
x = 18
\][/tex]
