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

Let's go through the steps to solve the equation \( \frac{1}{4}(x + 3) = 5 \).

Step 1: Multiply both sides by 4 to eliminate the fraction.
\[ 4 \cdot \frac{1}{4}(x + 3) = 4 \cdot 5 \] This simplifies to: \[ x + 3 = 20 \]

Step 2: Now express this result clearly:
\[ x + 3 = 20 \]

Step 3: Subtract 3 from both sides:
\[ x + 3 - 3 = 20 - 3 \] This simplifies to: \[ x = 17 \]

Step 4: The final answer is:
\[ x = 17 \]

So to summarize:

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