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

Question

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

Answer 1

Let's solve the equation step by step and fill in the blanks.

Given: \[ \frac{1}{4}(x + 3) = 5 \]

Step 1:

To eliminate the fraction, we multiply both sides by 4: \[ (4) \cdot \frac{1}{4}(x + 3) = (4) \cdot 5 \]

So, we can fill in: Step 1: (4) 1/4(x+3)=5 (4)

Step 2:

Now, simplifying both sides will give us: \[ x + 3 = 20 \]

So, we can fill in: Step 2: x + 3 = 20.

Step 3:

We need to isolate x by subtracting 3 from both sides: Step 3: Subtract 3 from both sides.

Step 4:

Now, solving for x: \[ x = 20 - 3 \] So: \[ x = 17 \]

So, we can fill in: Step 4: x = 17.

Final Summary:

1. (4) 1/4(x+3)=5 (4)
2. Step 2: x + 3 = 20.
3. Step 3: Subtract 3 from both sides.
4. Step 4: x = 17.