Sure, let's solve the equation step-by-step to find the value of [tex]\( x \)[/tex]:
The given equation is:
[tex]\[
\frac{x}{6} - 7 = -4
\][/tex]
Step 1: Add 7 to both sides of the equation to isolate the fraction.
[tex]\[
\frac{x}{6} - 7 + 7 = -4 + 7
\][/tex]
Simplifying this, we get:
[tex]\[
\frac{x}{6} = 3
\][/tex]
Step 2: Multiply both sides by 6 to solve for [tex]\( x \)[/tex].
[tex]\[
x = 3 \times 6
\][/tex]
[tex]\[
x = 18
\][/tex]
So, the value that makes the equation true is [tex]\( 18 \)[/tex].
Therefore, the value of [tex]\( x \)[/tex] is:
[tex]\[
x = 60
\][/tex]
