Answer :

Sure, let's solve the equation step by step:

Given the equation:

[tex]\[ \frac{x}{6} - 5 = -2 \][/tex]

1. Isolate the term with [tex]\(x\)[/tex] on one side of the equation:

We want to get [tex]\(\frac{x}{6}\)[/tex] by itself on the left side of the equation. To do this, we'll add 5 to both sides to cancel out the -5.

[tex]\[ \frac{x}{6} - 5 + 5 = -2 + 5 \][/tex]

Simplifying the equation:

[tex]\[ \frac{x}{6} = 3 \][/tex]

2. Solve for [tex]\(x\)[/tex]:

Now, we need to isolate [tex]\(x\)[/tex]. Since [tex]\(x\)[/tex] is currently divided by 6, we can multiply both sides of the equation by 6.

[tex]\[ 6 \cdot \frac{x}{6} = 3 \cdot 6 \][/tex]

On the left side, multiplying [tex]\(\frac{x}{6}\)[/tex] by 6 cancels out the division, leaving us with [tex]\(x\)[/tex]:

[tex]\[ x = 18 \][/tex]

So, the solution to the equation [tex]\(\frac{x}{6} - 5 = -2\)[/tex] is:

[tex]\[ x = 18 \][/tex]