Let's solve the equation step by step:
Given equation:
[tex]\[
\frac{x}{6} - 7 = -4
\][/tex]
Step 1: Add 7 to both sides of the equation to isolate the term with [tex]\(x\)[/tex]:
[tex]\[
\frac{x}{6} - 7 + 7 = -4 + 7
\][/tex]
[tex]\[
\frac{x}{6} = 3
\][/tex]
Step 2: Multiply both sides by 6 to solve for [tex]\(x\)[/tex]:
[tex]\[
\left( \frac{x}{6} \right) \cdot 6 = 3 \cdot 6
\][/tex]
[tex]\[
x = 18
\][/tex]
So, the value of [tex]\(x\)[/tex] that makes this equation true is:
[tex]\[
x = 18
\][/tex]
