Let's solve the equation step by step:
Given the equation: \[\frac{1}{4}(x+3)=5\]
Step 1:
Multiply both sides by 4 to eliminate the fraction: \[ 4 \cdot \frac{1}{4}(x+3) = 4 \cdot 5 \] So, we have: \[ (x+3) = 20 \]
Step 2:
Now, we rewrite this: \[ x + 3 = 20 \]
Step 3:
Subtract 3 from both sides: \[ x + 3 - 3 = 20 - 3 \]
Step 4:
So, we have: \[ x = 17 \]
Putting it all together, here’s the filled out format:
Step 1: \(4\) \(\frac{1}{4}(x+3)=5\) \( ( \text{multiply both sides by } 4 ) \)
Step 2: \(x+3=20\)
Step 3: Subtract \(3\) from both sides.
Step 4: \(x=17\)