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Fill in the spaces to solve each step of the problem 1/4 ( x + 3 ) = 5.(2 points)

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

1 answer

To solve the equation \( \frac{1}{4} ( x + 3 ) = 5 \), let's fill in the steps:

Step 1: (Multiply both sides by 4)
\( 1/4 ( x + 3 ) = 5 \) (multiply both sides by 4) → Step 1: (4) \( 1/4 ( x + 3 ) = 5(4) \)

Step 2: x + 3 = 20
To solve for \( x + 3 \), we calculate \( 5 \times 4 = 20 \).

Step 3: Subtract 3 from both sides.
We need to isolate \( x \), so we subtract \( 3 \) from \( 20 \).

Step 4: x = 17
After subtracting, we have \( x = 20 - 3 = 17 \).

Putting it all together:

  1. \( 4 \cdot \frac{1}{4} ( x + 3 ) = 5 \cdot 4 \)
  2. \( x + 3 = 20 \)
  3. Subtract \( 3 \) from both sides.
  4. \( x = 17 \)