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=

1 answer

To solve the equation \( \frac{1}{4}(x+3)=5 \), we can break it down step-by-step. Here is how you would fill in the spaces:

Step 1: \( \frac{1}{4}(x+3) = 5 \) (This is the original equation as it is.)

Step 2: Multiply both sides by 4 to eliminate the fraction:
\[ x + 3 = 5 \times 4 \]
So, \( x + 3 = 20 \).

Step 3: Subtract 3 from both sides:
\[ x + 3 - 3 = 20 - 3 \]

Step 4: \( x = 17 \).

Putting this all together, we have:

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