Fill in the spaces to solve each step of the problem 1/4(x+3)=5 .(2 points)

Answer 1

To solve the equation \(\frac{1}{4}(x + 3) = 5\), we can follow these steps:

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

   Which simplifies to: \[ x + 3 = 20 \]

2. Subtract 3 from both sides to solve for \(x\): \[ x + 3 - 3 = 20 - 3 \]

   Which simplifies to: \[ x = 17 \]

So, the solution to the equation \(\frac{1}{4}(x + 3) = 5\) is \(x = 17\).