Fill in the spaces to solve each step of the problem

1/4 ( x + 3 ) = 5
.(2 points)
Step 1: (___) 1/4 (x + ___ )= 5 (___).
Step 2: x + 3 = _____
Step 3: Subtract ____ from both sides.
Step 4: x = ____

1 answer

Let's fill in the spaces to solve the equation \( \frac{1}{4}(x + 3) = 5 \).

Step 1: (Multiply) \( \frac{1}{4}(x + 3) = 5 (4) \)
Here, we multiply both sides by 4 to eliminate the fraction.

Step 2: \( x + 3 = 20 \)
After multiplying, we find \( x + 3 = 20 \).

Step 3: Subtract \( 3 \) from both sides.
Now, we need to isolate \( x \).

Step 4: \( x = 17 \)
Finally, after subtracting 3, we find that \( x = 17 \).

So, the completed steps are:

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