Fill in the spaces to solve each step of the problem ≤ (x + 3) = 5. (2 points)

Question

Step 1: (blank) 1/4 (x + 3) = 5( blank)
Step 2: x + 3 = (blank)
Step 3: Subtract blank from both sides
Step 4: x = (blank)

Answer 1

To solve the equation \( \frac{1}{4}(x + 3) = 5 \), we can fill in the blanks step by step:

Step 1: Multiply both sides by 4.
Blank 1: 4
Blank 2: 20

So, the step becomes:
\( 4 \cdot \frac{1}{4}(x + 3) = 5 \cdot 4 \)
or
\( x + 3 = 20 \)

Step 2: \( x + 3 = 20 \)
(We can fill the blank with 20.)

Step 3: Subtract 3 from both sides.
Blank: 3

So, the step becomes:
Subtract 3 from both sides.

Step 4: \( x = 20 - 3 \)
Which simplifies to \( x = 17 \).
(We can fill the blank with 17.)

Putting it all together, we have:

Step 1: 4 (x + 3) = 20
Step 2: x + 3 = 20
Step 3: Subtract 3 from both sides
Step 4: x = 17