Question

frank tried to solve an equation step by step. -5 = 5(d + 4) -5 = 5d + 20 step 1 15 = 5d step 2 3 = d step 3

Explanation:

Step1: Identify the error in Step 2

To isolate the term with \(d\), we should subtract 20 from both sides of the equation \(-5 = 5d + 20\).
Subtracting 20 from both sides: \(-5 - 20=5d + 20 - 20\)
Simplifying gives: \(-25 = 5d\), not \(15 = 5d\). So Step 2 has an error.

Step2: Correct the solution

Starting from the original equation \(-5 = 5(d + 4)\)
Step 1: Distribute 5: \(-5 = 5d + 20\) (correct)
Step 2: Subtract 20 from both sides: \(-5 - 20=5d + 20 - 20\)
\(-25 = 5d\)
Step 3: Divide both sides by 5: \(\frac{-25}{5}=\frac{5d}{5}\)
\(-5 = d\)

Answer:

The error is in Step 2 (incorrect subtraction). The correct solution is \(d = -5\).