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.

3 answers

To solve the equation \( \frac{1}{4}(x+3) = 5 \), let's go through each step:

Step 1: Multiply both sides by 4 to eliminate the fraction.

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

This results in:

\[ (x + 3) = 20 \]

Step 2: The equation now is:

\[ x + 3 = 20 \]

Step 3: Subtract 3 from both sides:

\[ x + 3 - 3 = 20 - 3 \]

This results in:

\[ x = 17 \]

So, filling in the blanks:

Step 1: (4) \( \frac{1}{4}(x+3) = 5 \) (4)

Step 2: \( x + 3 = \textbf{20} \)

Step 3: Subtract 3 from both sides.

Step 4: x=

Continuing from where we left off:

After Step 3, we had:

\[ x = 20 - 3 \]

Calculating that gives us:

\[ x = 17 \]

So, for Step 4:

Step 4: \( x = \textbf{17} \)