Question

-6 = 6(x + 5)
follow pemdas to map out the steps below.
after that step, the output (given by the equal sign) was

x → +5 → x + 5 → ×6 → 6(x + 5)
≑

Explanation:

Step1: Divide both sides by 6

To isolate the term with \( x \), we divide both sides of the equation \(-6 = 6(x + 5)\) by 6.

$$ \frac{-6}{6}=\frac{6(x + 5)}{6} $$

Simplifying both sides, we get \(-1=x + 5\).

Step2: Subtract 5 from both sides

To solve for \( x \), we subtract 5 from both sides of the equation \(-1=x + 5\).

$$ -1-5=x + 5-5 $$

Simplifying both sides, we get \(x=-6\). But the question is about the output after the first step (dividing by 6). After dividing both sides by 6, the equation becomes \(-1 = x + 5\), so the output (the left - hand side value) is \(-1\).

Answer:

\(-1\)