To find the value of [tex]\( x \)[/tex] that makes the equation true, we can solve it step by step.
1. Start with the given equation:
[tex]\[
\frac{x}{6} - 7 = -4
\][/tex]
2. Isolate the term with [tex]\( x \)[/tex] by adding 7 to both sides of the equation:
[tex]\[
\frac{x}{6} - 7 + 7 = -4 + 7
\][/tex]
Simplify the equation:
[tex]\[
\frac{x}{6} = 3
\][/tex]
3. To solve for [tex]\( x \)[/tex], multiply both sides of the equation by 6:
[tex]\[
x = 3 \times 6
\][/tex]
Simplify the right-hand side:
[tex]\[
x = 18
\][/tex]
Therefore, the value of [tex]\( x \)[/tex] that makes the equation true is:
[tex]\[
x = 18
\][/tex]
