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=

Answer 1

To solve the equation \( \frac{1}{4}(x + 3) = 5 \), we can fill in the spaces as follows:

Step 1: Multiply both sides by 4.
\( 4 \cdot \frac{1}{4}(x + 3) = 4 \cdot 5 \)
So it becomes: \( (4) \frac{1}{4}(x + 3) = 20 \).

Step 2: Simplify the left side.
On simplifying, we get:
\( x + 3 = 20 \).

Step 3: Subtract 3 from both sides.
So, the equation becomes:
\( x + 3 - 3 = 20 - 3 \).

Step 4: Solve for x.
This simplifies to:
\( x = 17 \).

Putting it all together:

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