Certainly! Let's solve the given equation step-by-step:
The original equation is:
[tex]\[
\frac{-5x}{-5} = \frac{40}{-5}
\][/tex]
Step 1: Simplify the left side of the equation.
The left side of the equation is [tex]\(\frac{-5x}{-5}\)[/tex].
Since we are dividing [tex]\(-5x\)[/tex] by [tex]\(-5\)[/tex], these negative signs cancel each other out, resulting in:
[tex]\[
\frac{-5x}{-5} = x
\][/tex]
Step 2: Simplify the right side of the equation.
The right side of the equation is [tex]\(\frac{40}{-5}\)[/tex].
Dividing 40 by -5 gives us:
[tex]\[
\frac{40}{-5} = -8
\][/tex]
Step 3: Set the simplified left side equal to the simplified right side.
From Steps 1 and 2, we have:
[tex]\[
x = -8
\][/tex]
Therefore, the value of [tex]\(x\)[/tex] is:
[tex]\[
x = -8
\][/tex]
